11700

11700 is a natural number that follows 11699 and precedes 11701. It is an even composite integer, and in decimal notation it ends with two zeros because it is divisible by 100.

Prime factorization and divisors: 11700 = 2^2 × 3^2 × 5^2 × 13. This factorization implies it has 54 positive divisors, since the count is (2+1) × (2+1) × (2+1) × (1+1) = 54. The sum of all positive divisors, by the multiplicative property of the divisor-sum function, is 39,494; the sum of proper divisors is therefore 27,794. Because the sum of proper divisors exceeds the number itself, 11700 is an abundant number.

Representations and basic properties: In hexadecimal, 11700 is 0x2DB4. The number can be expressed as 30^2 × 13 or 900 × 13, highlighting its structure as a product of a square and a prime. It is divisible by 9, by 100, and by 13, reflecting its factorization 2^2 × 3^2 × 5^2 × 13.

Summary: 11700 is a highly composite-friendly, highly factorable integer with 54 divisors, is abundant, and has several simple representations that illustrate its composition as a square times a prime. It serves as a representative example of a nontrivial, highly factorable number in basic number theory.