13057380 has 144 divisors (see below), whose sum is σ = 46510464. Its totient is φ = 2903040.

The previous prime is 13057379. The next prime is 13057403. The reversal of 13057380 is 8375031.

13057380 is a `hidden beast` number, since 13 + 0 + 573 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54060 + ... + 54300.

Almost surely, 2^13057380 is an apocalyptic number.

13057380 is a gapful number since it is divisible by the number (10) 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 13057380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23255232).

13057380 is an abundant number, since it is smaller than the sum of its proper divisors (33453084).

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

13057380 is a wasteful number, since it uses less digits than its factorization.

13057380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13057380 is about 3613.4996886675. The cubic root of 13057380 is about 235.4789086822.

The spelling of 13057380 in words is "thirteen million, fifty-seven thousand, three hundred eighty".