ⓘ 900 (number)

ⓘ 900 (number)

900 is the natural number following 899 and preceding 901. It is the square of 30 and the sum of Eulers totient function for the first 54 integers. In base 10 it is a Harshad number.

1. In other fields

900 is also:

• A skateboarding trick in which the skateboarder spins two and a half times 360 degrees times 2.5 is 900
• In Greek number symbols, the sign Sampi "ϡ", literally "like a Pi"
• A 900 series refers to three consecutive perfect games in bowling
• A telephone area code for "premium" phone calls in the North American Numbering Plan

2.1. Integers from 901 to 999 900s

• 902 = 2 × 11 × 41, sphenic number, nontotient, Harshad number
• 901 = 17 × 53, happy number
• 903 = 3 × 7 × 43, sphenic number, triangular number, Schroder–Hipparchus number, Mertens function 903 returns 0
• 905 = 5 × 181, sum of seven consecutive primes 109 + 113 + 127 + 131 + 137 + 139 + 149
• "The 905" is a common nickname for the suburban portions of the Greater Toronto Area in Canada, a region whose telephones used area code 905 before overlay plans added two more area codes.
• 904 = 2 3 × 113 or 113 × 8, Mertens function904 returns 0
• 906 = 2 × 3 × 151, sphenic number, Mertens function906 returns 0
• 909 = 3 2 × 101
• 907 = prime number
• 908 = 2 × 227, nontotient

2.2. Integers from 901 to 999 910s

• 913 = 11 × 83, Smith number, Mertens function913 returns 0.
• 919 = prime number, cuban prime, Chen prime, palindromic prime, centered hexagonal number, happy number, Mertens function919 returns 0
• 916 = 2 × 229, Mertens function916 returns 0, nontotient, member of the Mian–Chowla sequence
• 915 = 3 × 5 × 61, sphenic number, Smith number, Mertens function915 returns 0, Harshad number
• 910 = 2 × 5 × 7 × 13, Mertens function910 returns 0, Harshad number, happy number
• 912 = 2 4 × 3 × 19, sum of four consecutive primes 223 + 227 + 229 + 233, sum of ten consecutive primes 71 + 73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109, Harshad number.
• 914 = 2 × 457, nontotient
• 917 = 7 × 131, sum of five consecutive primes 173 + 179 + 181 + 191 + 193
• 918 = 2 × 3 × 17, Harshad number
• 911 = prime number, also the emergency telephone number in North America

2.3. Integers from 901 to 999 920s

• 922 = 2 × 461, nontotient, Smith number
• The millesimal fineness number for Sterling silver
• 920 = 2 3 × 5 × 23, Mertens function920 returns 0
• 925 = 5 2 × 37, pentagonal number, centered square number
• 923 = 13 × 71
• 921 = 3 × 307
• 924 = 2 × 3 × 7 × 11, sum of a twin prime 461 + 463, central binomial coefficient 12 6 {\displaystyle {\tbinom {12}{6}}}
• 929 = prime number, Proth prime, palindromic prime, sum of nine consecutive primes 83 + 89 + 97 + 101 + 103 + 107 + 109 + 113 + 127, Eisenstein prime with no imaginary part
• 927 = 3 2 × 103, tribonacci number
• An area code in New York.
• 926 = 2 × 463, sum of six consecutive primes 139 + 149 + 151 + 157 + 163 + 167, nontotient
• 928 = 2 5 × 29, sum of four consecutive primes 227 + 229 + 233 + 239, sum of eight consecutive primes 101 + 103 + 107 + 109 + 113 + 127 + 131 + 137, happy number

2.4. Integers from 901 to 999 930s

• 936 = 2 3 × 3 2 × 13, pentagonal pyramidal number, Harshad number
• 935 = 5 × 11 × 17, sphenic number, Lucas–Carmichael number, Harshad number
• 930 = 2 × 3 × 5 × 31, pronic number
• 933 = 3 × 311
• 931 = 7 2 × 19; sum of three consecutive primes 307 + 311 + 313; double repdigit, 111 30 and 777 11
• 932 = 2 × 233
• 938 = 2 × 7 × 67, sphenic number, nontotient
• 937 = prime number, Chen prime, star number, happy number
• 934 = 2 × 467, nontotient
• 939 = 3 × 313

2.5. Integers from 901 to 999 940s

• 944 = 2 4 × 59, nontotient
• 947 = prime number, sum of seven consecutive primes 113 + 127 + 131 + 137 + 139 + 149 + 151, balanced prime, Chen prime, Eisenstein prime with no imaginary part
• 946 = 2 × 11 × 43, sphenic number, triangular number, hexagonal number, happy number
• 945 = 3 × 5 × 7, double factorial of 9, smallest odd abundant number divisors less than itself add up to 975; smallest odd primitive abundant number; smallest odd primitive semiperfect number; Leyland number
• 948 = 2 × 3 × 79, nontotient, forms a Ruth–Aaron pair with 949 under second definition
• 943 = 23 × 41
• 949 = 13 × 73, forms a Ruth–Aaron pair with 948 under second definition
• 942 = 2 × 3 × 157, sphenic number, sum of four consecutive primes 229 + 233 + 239 + 241, nontotient
• 941 = prime number, sum of three consecutive primes 311 + 313 + 317, sum of five consecutive primes 179 + 181 + 191 + 193 + 197, Chen prime, Eisenstein prime with no imaginary part
• 940 = 2 × 5 × 47, totient sum for first 55 integers

2.6. Integers from 901 to 999 950s

• one of two ISBN Group Identifiers for books published in Argentina
• 950 = 2 × 5 2 × 19, nontotient
• 951 = 3 × 317, centered pentagonal number
• one of two ISBN Group Identifiers for books published in Finland
• 952 is also 9-5-2, a card game similar to bridge.
• one of two ISBN Group Identifiers for books published in Finland
• 952 = 2 3 × 7 × 17
• ISBN Group Identifier for books published in Croatia
• 953 = prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, centered heptagonal number
• ISBN Group Identifier for books published in Bulgaria. Also one of the Area Codes in the South Florida Area
• 954 = 2 × 3 2 × 53, sum of ten consecutive primes 73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109 + 113, nontotient, Harshad number
• 955 = 5 × 191
• ISBN Group Identifier for books published in Sri Lanka
• 956 = 2 × 239
• ISBN Group Identifier for books published in Chile
• 957 = 3 × 11 × 29, sphenic number
• one of two ISBN Group Identifiers for books published in Taiwan and China
• 958 = 2 × 479, nontotient, Smith number
• The millesimal fineness number for Britannia silver
• ISBN Group Identifier for books published in Colombia
• 959 = 7 × 137, Carol number
• ISBN Group Identifier for books published in Cuba

2.7. Integers from 901 to 999 960s

• 960 = 2 6 × 3 × 5, sum of six consecutive primes 149 + 151 + 157 + 163 + 167 + 173, Harshad number
• Chess960 also got its name from the number itself
• country calling code for Maldives, ISBN Group Identifier for books published in Greece
• The number of possible starting positions for the chess variant Chess960
• country calling code for Lebanon, ISBN Group Identifier for books published in Slovenia
• 961 = 31 2, the largest 3-digit perfect square, sum of three consecutive primes 313 + 317 + 331, sum of five consecutive primes 181 + 191 + 193 + 197 + 199, centered octagonal number
• country calling code for Jordan, one of two ISBN Group Identifiers for books published in Hong Kong
• 962 = 2 × 13 × 37, sphenic number, nontotient
• 963 = 3 2 × 107, sum of the first twenty-four primes
• country calling code for Syria, ISBN Group Identifier for books published in Hungary
• 964 = 2 × 241, sum of four consecutive primes 233 + 239 + 241 + 251, nontotient, totient sum for first 56 integers
• country calling code for Iraq, ISBN Group Identifier for books published in Iran, happy number
• 965 = 5 × 193
• country calling code for Kuwait, ISBN Group Identifier for books published in Israel
• 966 = 2 × 3 × 7 × 23, sum of eight consecutive primes 103 + 107 + 109 + 113 + 127 + 131 + 137 + 139, Harshad number
• country calling code for Saudi Arabia, one of two ISBN Group Identifiers for books published in Ukraine
• country calling code for Yemen, one of two ISBN Group Identifiers for books published in Malaysia
• 967 = prime number
• country calling code for Oman, one of two ISBN Group Identifiers for books published in Mexico
• 968 = 2 3 × 11 2, nontotient
• 969 = 3 × 17 × 19, sphenic number, nonagonal number, tetrahedral number
• ISBN Group Identifier for books published in Pakistan, age of Methuselah according to Old Testament, anti-Muslim movement in Myanmar

2.8. Integers from 901 to 999 970s

• country calling code for Palestinian territories, one of two ISBN Group Identifiers for books published in Mexico
• 970 = 2 × 5 × 97, sphenic number
• country calling code for United Arab Emirates, ISBN Group Identifier for books published in the Philippines
• 971 = prime number, Chen prime, Eisenstein prime with no imaginary part
• country calling code for Israel, one of two ISBN Group Identifiers for books published in Portugal
• 972 = 2 × 3 5, Harshad number
• 973 = 7 × 139, happy number
• country calling code for Bahrain, ISBN Group Identifier for books published in Romania,
• country calling code for Qatar, ISBN Group Identifier for books published in Thailand
• 974 = 2 × 487, nontotient
• 975 = 3 × 5 2 × 13
• country calling code for Bhutan, ISBN Group Identifier for books published in Turkey
• country calling code for Mongolia, ISBN Group Identifier for books published in Antigua, Bahamas, Barbados, Belize, Cayman Islands, Dominica, Grenada, Guyana, Jamaica, Montserrat, Saint Kitts and Nevis, St. Lucia, St. Vincent and the Grenadines, Trinidad and Tobago, and the British Virgin Islands
• 976 = 2 4 × 61, decagonal number
• ISBN Group Identifier for books published in Egypt
• country calling code for Nepal
• EAN prefix for ISSNs
• 977 = prime number, sum of nine consecutive primes 89 + 97 + 101 + 103 + 107 + 109 + 113 + 127 + 131, balanced prime, Chen prime, Eisenstein prime with no imaginary part, Stern prime, strictly non-palindromic number
• First EAN prefix for ISBNs
• ISBN Group Identifier for books published in Nigeria
• 978 = 2 × 3 × 163, sphenic number, nontotient,
• 979 = 11 × 89
• Second EAN prefix for ISBNs. Also for ISMNs
• ISBN Group Identifier for books published in Indonesia

2.9. Integers from 901 to 999 980s

• ISBN Group Identifier for books published in Venezuela
• 980 = 2 × 5 × 7 2
• 981 = 3 2 × 109
• one of two ISBN Group Identifiers for books published in Singapore
• ISBN Group Identifier for books published in the Cook Islands, Fiji, Kiribati, Marshall Islands, Micronesia, Nauru, New Caledonia, Niue, Palau, Solomon Islands, Tokelau, Tonga, Tuvalu, Vanuatu, Western Samoa
• 982 = 2 × 491, happy number
• 983 = prime number, safe prime, Chen prime, Eisenstein prime with no imaginary part, Wedderburn–Etherington number, strictly non-palindromic number
• One of two ISBN Group Identifiers for books published in Malaysia
• 984 = 2 3 × 3 × 41
• ISBN Group Identifier for books published in Bangladesh
• 985 = 5 × 197, sum of three consecutive primes 317 + 331 + 337, Markov number, Pell number, Smith number
• one of two ISBN Group Identifiers for books published in Belarus
• 986 = 2 × 17 × 29, sphenic number, nontotient
• one of two ISBN Group Identifiers for books published in Taiwan and China
• 987 = 3 × 7 × 47, Fibonacci number
• one of two ISBN Group Identifiers for books published in Argentina
• one of two ISBN Group Identifiers for books published in Hong Kong
• 988 = 2 × 13 × 19, nontotient. sum of four consecutive primes 239 + 241 + 251 + 257
• one of two ISBN Group Identifiers for books published in Portugal
• 989 = 23 × 43, Extra strong Lucas pseudoprime

2.10. Integers from 901 to 999 990s

• best possible VantageScore credit score
• 990 = 2 × 3 2 × 5 × 11, sum of six consecutive primes 151 + 157 + 163 + 167 + 173 + 179, triangular number, Harshad number
• country calling code for Tajikistan
• 991 = prime number, sum of five consecutive primes 191 + 193 + 197 + 199 + 211, sum of seven consecutive primes 127 + 131 + 137 + 139 + 149 + 151 + 157, Chen prime
• 992 = 2 5 × 31, pronic number, nontotient; number of eleven-dimensional exotic spheres.
• 993 = 3 × 331
• country calling code for Turkmenistan
• 994 = 2 × 7 × 71, sphenic number, nontotient
• country calling code for Azerbaijan
• 995 = 5 × 199
• country calling code for Georgia
• Singapore fire brigade and emergency ambulance services hotline
• country calling code for Kyrgyzstan
• 996 = 2 × 3 × 83
• 998 = 2 × 499, nontotient
• 997 is the largest three-digit prime number, strictly non-palindromic number
• country calling code for Uzbekistan
• 999 was a London punk band active during the 1970s.
• 999 = 3 × 37, Kaprekar number, Harshad number
• In some parts of the world, such as the UK and Commonwealth countries, 999 pronounced as 9-9-9 is the emergency telephone number.