13057700 has 36 divisors (see below), whose sum is σ = 30005892. Its totient is φ = 4915200.

The previous prime is 13057699. The next prime is 13057711. The reversal of 13057700 is 775031.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 155236 + 12902464 = 394^2 + 3592^2 .

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 11 ways as a sum of consecutive naturals, for example, 2141 + ... + 5540.

It is an arithmetic number, because the mean of its divisors is an integer number (833497).

Almost surely, 2^13057700 is an apocalyptic number.

13057700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13057700 is an abundant number, since it is smaller than the sum of its proper divisors (16948192).

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

13057700 is a wasteful number, since it uses less digits than its factorization.

13057700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7712 (or 7705 counting only the distinct ones).

The product of its (nonzero) digits is 735, while the sum is 23.

The square root of 13057700 is about 3613.5439668005. The cubic root of 13057700 is about 235.4808323105.

The spelling of 13057700 in words is "thirteen million, fifty-seven thousand, seven hundred".