13415200 has 72 divisors (see below), whose sum is σ = 33630660. Its totient is φ = 5222400.

The previous prime is 13415189. The next prime is 13415231. The reversal of 13415200 is 251431.

It can be written as a sum of positive squares in 6 ways, for example, as 4343056 + 9072144 = 2084^2 + 3012^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32596 + ... + 33004.

Almost surely, 2^13415200 is an apocalyptic number.

13415200 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 13415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16815330).

13415200 is an abundant number, since it is smaller than the sum of its proper divisors (20215460).

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

13415200 is a wasteful number, since it uses less digits than its factorization.

13415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 13415200 is about 3662.6766169019. The cubic root of 13415200 is about 237.6105487198.

Adding to 13415200 its reverse (251431), we get a palindrome (13666631).

The spelling of 13415200 in words is "thirteen million, four hundred fifteen thousand, two hundred".