14040

14040 is a natural number that lies between 14039 and 14041. In prime factorization terms it is 2^3 × 3^3 × 5 × 13, which implies a total of (3+1)(3+1)(1+1)(1+1) = 64 positive divisors.

Because of its factorization, 14040 is divisible by several small integers, including 2, 3, 4, 5, 8, 9, 10, 13, and 27. Notably, 8 × 27 = 216 and 5 × 13 = 65, so 14040 is divisible by 216 and by 65; indeed 14040 = 216 × 65. It is also divisible by 10, since it ends in 0, and by 9 since the sum of its digits is 1+4+0+4+0 = 9, making 14040 a multiple of 9 and of 27 as well (14040 ÷ 27 = 520).

In decimal notation, the digits sum to 9, so 14040 is a Harshad (Niven) number: it is divisible by the sum of its digits. The combination of a large number of divisors and clear divisibility properties makes 14040 a useful example in elementary number theory for illustrating factorization and divisor counts.