13931280 has 120 divisors (see below), whose sum is σ = 51068160. Its totient is φ = 3375360.

The previous prime is 13931221. The next prime is 13931287. The reversal of 13931280 is 8213931.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (13931287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7041 + ... + 8799.

It is an arithmetic number, because the mean of its divisors is an integer number (425568).

Almost surely, 2^13931280 is an apocalyptic number.

13931280 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 13931280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25534080).

13931280 is an abundant number, since it is smaller than the sum of its proper divisors (37136880).

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

13931280 is a wasteful number, since it uses less digits than its factorization.

13931280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13931280 is about 3732.4629937884. The cubic root of 13931280 is about 240.6192342465.

The spelling of 13931280 in words is "thirteen million, nine hundred thirty-one thousand, two hundred eighty".