13292200 has 48 divisors (see below), whose sum is σ = 31677660. Its totient is φ = 5184000.

The previous prime is 13292189. The next prime is 13292219. The reversal of 13292200 is 229231.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3090564 + 10201636 = 1758^2 + 3194^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7390 + ... + 9010.

Almost surely, 2^13292200 is an apocalyptic number.

13292200 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 13292200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15838830).

13292200 is an abundant number, since it is smaller than the sum of its proper divisors (18385460).

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

13292200 is a wasteful number, since it uses less digits than its factorization.

13292200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 13292200 is about 3645.8469523555. The cubic root of 13292200 is about 236.8821243184.

The spelling of 13292200 in words is "thirteen million, two hundred ninety-two thousand, two hundred".