13057800 has 96 divisors (see below), whose sum is σ = 46276800. Its totient is φ = 2983680.

The previous prime is 13057777. The next prime is 13057829. The reversal of 13057800 is 875031.

13057800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13057800² = 341012281680000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2646 + ... + 5754.

It is an arithmetic number, because the mean of its divisors is an integer number (482050).

Almost surely, 2^13057800 is an apocalyptic number.

13057800 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 13057800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23138400).

13057800 is an abundant number, since it is smaller than the sum of its proper divisors (33219000).

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

13057800 is a wasteful number, since it uses less digits than its factorization.

13057800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 13057800 is about 3613.5578036057. The cubic root of 13057800 is about 235.4814334378.

The spelling of 13057800 in words is "thirteen million, fifty-seven thousand, eight hundred".