13250400 has 72 divisors (see below), whose sum is σ = 43137864. Its totient is φ = 3532800.

The previous prime is 13250387. The next prime is 13250411. The reversal of 13250400 is 405231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13250400.

It is a congruent number.

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, 361 + ... + 5160.

It is an arithmetic number, because the mean of its divisors is an integer number (599137).

Almost surely, 2^13250400 is an apocalyptic number.

13250400 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 13250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21568932).

13250400 is an abundant number, since it is smaller than the sum of its proper divisors (29887464).

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

13250400 is a wasteful number, since it uses less digits than its factorization.

13250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5544 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 13250400 is about 3640.1098884512. The cubic root of 13250400 is about 236.6335557284.

Adding to 13250400 its reverse (405231), we get a palindrome (13655631).

The spelling of 13250400 in words is "thirteen million, two hundred fifty thousand, four hundred".