12474

12474 is a natural number that sits between 12473 and 12475. It is even and composite. Its prime factorization is 2 × 3^4 × 7 × 11, which implies it has 40 positive divisors.

The divisors of 12474 can be generated from the prime factors by taking powers of 2 (0 or 1), powers of 3 (0 to 4), and either including or excluding 7 and 11. The sum of all positive divisors (including the number itself) is 34,848, and the sum of the proper divisors is 22,374. Because the sum of proper divisors exceeds the number, 12474 is classified as an abundant number.

In base representations, 12474 is written as 11000010111010 in binary, 0x30BA in hexadecimal, and 30272 in octal. The decimal digits sum to 18, so the number is divisible by 9, and since it is even, it is divisible by 18 as well. This aligns with its prime factorization, which includes the factors 2 and 3^4.

As an integer, 12474 has no special designation beyond its arithmetic properties; it serves as an example of an even, abundant composite with a relatively large number of divisors.