13251920 has 90 divisors (see below), whose sum is σ = 34806366. Its totient is φ = 4688640.

The previous prime is 13251881. The next prime is 13251923. The reversal of 13251920 is 2915231.

It can be written as a sum of positive squares in 3 ways, for example, as 6512704 + 6739216 = 2552^2 + 2596^2 .

It is a super-2 number, since 2×13251920² = 351226767372800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13251923) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 358142 + ... + 358178.

Almost surely, 2^13251920 is an apocalyptic number.

13251920 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 13251920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17403183).

13251920 is an abundant number, since it is smaller than the sum of its proper divisors (21554446).

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

13251920 is a wasteful number, since it uses less digits than its factorization.

13251920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 13251920 is about 3640.3186673697. The cubic root of 13251920 is about 236.6426037383.

The spelling of 13251920 in words is "thirteen million, two hundred fifty-one thousand, nine hundred twenty".