13930200 has 144 divisors (see below), whose sum is σ = 47876400. Its totient is φ = 3628800.

The previous prime is 13930187. The next prime is 13930229. The reversal of 13930200 is 203931.

13930200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127746 + ... + 127854.

It is an arithmetic number, because the mean of its divisors is an integer number (332475).

Almost surely, 2^13930200 is an apocalyptic number.

13930200 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 13930200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23938200).

13930200 is an abundant number, since it is smaller than the sum of its proper divisors (33946200).

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

13930200 is a wasteful number, since it uses less digits than its factorization.

13930200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 13930200 is about 3732.3183143992. The cubic root of 13930200 is about 240.6130162132.

The spelling of 13930200 in words is "thirteen million, nine hundred thirty thousand, two hundred".