13933980 has 72 divisors (see below), whose sum is σ = 42588000. Its totient is φ = 3687552.

The previous prime is 13933967. The next prime is 13933981. The reversal of 13933980 is 8933931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13933981) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 35626 + ... + 36014.

It is an arithmetic number, because the mean of its divisors is an integer number (591500).

Almost surely, 2^13933980 is an apocalyptic number.

13933980 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 13933980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21294000).

13933980 is an abundant number, since it is smaller than the sum of its proper divisors (28654020).

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

13933980 is a wasteful number, since it uses less digits than its factorization.

13933980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 13933980 is about 3732.8246677282. The cubic root of 13933980 is about 240.6347779239.

The spelling of 13933980 in words is "thirteen million, nine hundred thirty-three thousand, nine hundred eighty".