13492200 has 96 divisors (see below), whose sum is σ = 42408000. Its totient is φ = 3548160.

The previous prime is 13492187. The next prime is 13492207. The reversal of 13492200 is 229431.

13492200 = 288² + 289² + ... + 400².

It is not an unprimeable number, because it can be changed into a prime (13492207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67701 + ... + 67899.

It is an arithmetic number, because the mean of its divisors is an integer number (441750).

Almost surely, 2^13492200 is an apocalyptic number.

13492200 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 13492200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21204000).

13492200 is an abundant number, since it is smaller than the sum of its proper divisors (28915800).

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

13492200 is a wasteful number, since it uses less digits than its factorization.

13492200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13492200 is about 3673.1730152553. The cubic root of 13492200 is about 238.0642907078.

The spelling of 13492200 in words is "thirteen million, four hundred ninety-two thousand, two hundred".