13056200 has 48 divisors (see below), whose sum is σ = 30714180. Its totient is φ = 5160960.

The previous prime is 13056167. The next prime is 13056209. The reversal of 13056200 is 265031.

It can be written as a sum of positive squares in 6 ways, for example, as 3334276 + 9721924 = 1826^2 + 3118^2 .

It is not an unprimeable number, because it can be changed into a prime (13056209) by changing a digit.

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, 19064 + ... + 19736.

Almost surely, 2^13056200 is an apocalyptic number.

13056200 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 13056200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15357090).

13056200 is an abundant number, since it is smaller than the sum of its proper divisors (17657980).

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

13056200 is a wasteful number, since it uses less digits than its factorization.

13056200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 13056200 is about 3613.3364083628. The cubic root of 13056200 is about 235.4718150314.

The spelling of 13056200 in words is "thirteen million, fifty-six thousand, two hundred".