13249800 has 144 divisors (see below), whose sum is σ = 47223540. Its totient is φ = 3317760.

The previous prime is 13249799. The next prime is 13249837. The reversal of 13249800 is 894231.

It can be written as a sum of positive squares in 6 ways, for example, as 3849444 + 9400356 = 1962^2 + 3066^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30384 + ... + 30816.

Almost surely, 2^13249800 is an apocalyptic number.

13249800 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 13249800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23611770).

13249800 is an abundant number, since it is smaller than the sum of its proper divisors (33973740).

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

13249800 is a wasteful number, since it uses less digits than its factorization.

13249800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13249800 is about 3640.0274724238. The cubic root of 13249800 is about 236.6299839551.

The spelling of 13249800 in words is "thirteen million, two hundred forty-nine thousand, eight hundred".