13806200 has 24 divisors (see below), whose sum is σ = 32099880. Its totient is φ = 5522400.

The previous prime is 13806131. The next prime is 13806211. The reversal of 13806200 is 260831.

13806200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13806200² = 381222316880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34316 + ... + 34715.

It is an arithmetic number, because the mean of its divisors is an integer number (1337495).

Almost surely, 2^13806200 is an apocalyptic number.

13806200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13806200 is an abundant number, since it is smaller than the sum of its proper divisors (18293680).

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

13806200 is a wasteful number, since it uses less digits than its factorization.

13806200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69047 (or 69038 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 13806200 is about 3715.6695224414. The cubic root of 13806200 is about 239.8969464970.

The spelling of 13806200 in words is "thirteen million, eight hundred six thousand, two hundred".