13931320 has 64 divisors (see below), whose sum is σ = 34312320. Its totient is φ = 5059584.

The previous prime is 13931299. The next prime is 13931327. The reversal of 13931320 is 2313931.

It is a junction number, because it is equal to n+sod(n) for n = 13931291 and 13931300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13931327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37777 + ... + 38143.

It is an arithmetic number, because the mean of its divisors is an integer number (536130).

Almost surely, 2^13931320 is an apocalyptic number.

13931320 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 13931320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17156160).

13931320 is an abundant number, since it is smaller than the sum of its proper divisors (20381000).

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

13931320 is a wasteful number, since it uses less digits than its factorization.

13931320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 13931320 is about 3732.4683521766. The cubic root of 13931320 is about 240.6194645379.

The spelling of 13931320 in words is "thirteen million, nine hundred thirty-one thousand, three hundred twenty".