13024400 has 30 divisors (see below), whose sum is σ = 31292082. Its totient is φ = 5209600.

The previous prime is 13024391. The next prime is 13024409. The reversal of 13024400 is 442031.

It is an interprime number because it is at equal distance from previous prime (13024391) and next prime (13024409).

It can be written as a sum of positive squares in 3 ways, for example, as 1948816 + 11075584 = 1396^2 + 3328^2 .

It is not an unprimeable number, because it can be changed into a prime (13024409) 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 5 ways as a sum of consecutive naturals, for example, 15881 + ... + 16680.

Almost surely, 2^13024400 is an apocalyptic number.

13024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13024400 is an abundant number, since it is smaller than the sum of its proper divisors (18267682).

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

13024400 is a wasteful number, since it uses less digits than its factorization.

13024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32579 (or 32568 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 13024400 is about 3608.9333604266. The cubic root of 13024400 is about 235.2804859750.

Adding to 13024400 its reverse (442031), we get a palindrome (13466431).

The spelling of 13024400 in words is "thirteen million, twenty-four thousand, four hundred".