13241600 has 54 divisors (see below), whose sum is σ = 32790870. Its totient is φ = 5294080.

The previous prime is 13241587. The next prime is 13241609. The reversal of 13241600 is 614231.

It can be written as a sum of positive squares in 3 ways, for example, as 50176 + 13191424 = 224^2 + 3632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13241609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5366 + ... + 7434.

Almost surely, 2^13241600 is an apocalyptic number.

13241600 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 13241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16395435).

13241600 is an abundant number, since it is smaller than the sum of its proper divisors (19549270).

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

13241600 is an equidigital number, since it uses as much as digits as its factorization.

13241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 13241600 is about 3638.9009329741. The cubic root of 13241600 is about 236.5811589089.

Adding to 13241600 its reverse (614231), we get a palindrome (13855831).

The spelling of 13241600 in words is "thirteen million, two hundred forty-one thousand, six hundred".