1291680

1291680 is a natural number that is even and composite, situated between 1,291,679 and 1,291,681. It has a rich prime factorization that informs its arithmetic properties.

The prime factorization of 1291680 is 2^5 * 3^3 * 5 * 13 * 23. This shows the number is divisible by 2, 3, 5, 13, and 23, with 2 raised to the fifth power and 3 raised to the third power.

1291680 has 192 positive divisors, a relatively large count for a number of its size. The sum of all divisors can be computed from the factorization as σ(1291680) = 5,080,320, giving a sum of proper divisors s(1291680) = σ(n) − n = 3,788,640. Because s(n) > n, the number is abundant, with an abundance of 2,496,960 (s(n) − n).

In base 10, the digit sum of 1291680 is 1 + 2 + 9 + 1 + 6 + 8 + 0 = 27, making the number divisible by 27 (and thus by 9 and 3 as well). This also makes 1291680 a Harshad (Niven) number, since it is divisible by the sum of its digits.

Overall, 1291680 is a highly factorable, abundant integer with a factorization that accounts for its large divisor count and divisibility properties.