13932900 has 108 divisors (see below), whose sum is σ = 44379972. Its totient is φ = 3655680.

The previous prime is 13932889. The next prime is 13932953. The reversal of 13932900 is 923931.

It can be written as a sum of positive squares in 6 ways, for example, as 2359296 + 11573604 = 1536^2 + 3402^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 101632 + ... + 101768.

Almost surely, 2^13932900 is an apocalyptic number.

13932900 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 13932900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22189986).

13932900 is an abundant number, since it is smaller than the sum of its proper divisors (30447072).

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

13932900 is a wasteful number, since it uses less digits than its factorization.

13932900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 13932900 is about 3732.6800023576. The cubic root of 13932900 is about 240.6285606939.

The spelling of 13932900 in words is "thirteen million, nine hundred thirty-two thousand, nine hundred".