10200

10200 is a natural number in the decimal system. It sits between 10199 and 10201, and is notable for several mathematical properties.

In mathematics, 10200 is an even composite number. Its prime factorization is 2^3 × 3 × 5^2 × 17. This factorization gives it 48 positive divisors. The sum of all positive divisors is 33480, so the sum of its proper divisors is 23280, which makes 10200 an abundant number (the sum of proper divisors exceeds the number itself). Additionally, 10200 is one less than a perfect square, since 101 squared equals 10201.

10200’s representations in other bases include binary, octal, and hexadecimal. In binary it is 10011111011000, in octal it is 23730, and in hexadecimal it is 0x27D8. These representations reflect the same value in different numeral systems and are often used in computing and digital contexts.

As a specific integer, 10200 appears in general number theory as a member of various arithmetic investigations, such as divisor function studies and classifications of abundant numbers. Its factorization shows it is divisible by 2, 3, 5, and 17, among many other divisors, illustrating typical patterns of composites formed from small prime factors.

See also: integer, prime factorization, divisor function, abundant number.