13938900 has 72 divisors (see below), whose sum is σ = 40830720. Its totient is φ = 3671040.

The previous prime is 13938857. The next prime is 13938907. The reversal of 13938900 is 983931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13938907) 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 23 ways as a sum of consecutive naturals, for example, 28861 + ... + 29339.

Almost surely, 2^13938900 is an apocalyptic number.

13938900 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 13938900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20415360).

13938900 is an abundant number, since it is smaller than the sum of its proper divisors (26891820).

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

13938900 is a wasteful number, since it uses less digits than its factorization.

13938900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 13938900 is about 3733.4836279271. The cubic root of 13938900 is about 240.6630967959.

The spelling of 13938900 in words is "thirteen million, nine hundred thirty-eight thousand, nine hundred".