6600

6600 is the natural number that follows 6599 and precedes 6601. It is an even composite number.

Its prime factorization is 6600 = 2^3 × 3 × 5^2 × 11. The number of positive divisors is (3+1)(1+1)(2+1)(1+1) = 48. The sum of all divisors is 22320, so the sum of proper divisors is 22320 − 6600 = 15720. Because the sum of its proper divisors exceeds 6600, the number is abundant. In base 10, the sum of its digits is 6+6+0+0 = 12, and since 6600 is divisible by 12 (6600 ÷ 12 = 550), it is also a Harshad number.

In common representations, 6600 equals 66 × 100. In other bases, 6600 is 0x19C8 in hexadecimal and 1100111001000 in binary (with leading zeros as 0001100111001000 in 16-bit form).

6600 has various divisibility properties due to its factorization; it is divisible by 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 33, 44, 55, 66, and others. It serves as a typical example of an even, abundant, and Harshad number in elementary number theory.