13058304 has 108 divisors (see below), whose sum is σ = 40544784. Its totient is φ = 3720192.

The previous prime is 13058303. The next prime is 13058321. The reversal of 13058304 is 40385031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13058303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37459 + ... + 37805.

Almost surely, 2^13058304 is an apocalyptic number.

13058304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13058304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20272392).

13058304 is an abundant number, since it is smaller than the sum of its proper divisors (27486480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13058304 is an equidigital number, since it uses as much as digits as its factorization.

13058304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13058304 is about 3613.6275402980. The cubic root of 13058304 is about 235.4844630731.

The spelling of 13058304 in words is "thirteen million, fifty-eight thousand, three hundred four".