13057280 has 54 divisors (see below), whose sum is σ = 31588998. Its totient is φ = 5171200.

The previous prime is 13057277. The next prime is 13057321. The reversal of 13057280 is 8275031.

It can be written as a sum of positive squares in 3 ways, for example, as 8111104 + 4946176 = 2848^2 + 2224^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 129230 + ... + 129330.

Almost surely, 2^13057280 is an apocalyptic number.

13057280 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 13057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15794499).

13057280 is an abundant number, since it is smaller than the sum of its proper divisors (18531718).

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

13057280 is an frugal number, since it uses more digits than its factorization.

13057280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 13057280 is about 3613.4858516397. The cubic root of 13057280 is about 235.4783075419.

The spelling of 13057280 in words is "thirteen million, fifty-seven thousand, two hundred eighty".