13242400 has 36 divisors (see below), whose sum is σ = 32329962. Its totient is φ = 5296640.

The previous prime is 13242379. The next prime is 13242407. The reversal of 13242400 is 424231.

It can be written as a sum of positive squares in 3 ways, for example, as 12475024 + 767376 = 3532^2 + 876^2 .

It is a super-2 number, since 2×13242400² = 350722315520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13242407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7477 + ... + 9076.

Almost surely, 2^13242400 is an apocalyptic number.

13242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13242400 is an abundant number, since it is smaller than the sum of its proper divisors (19087562).

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

13242400 is a wasteful number, since it uses less digits than its factorization.

13242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16573 (or 16560 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 13242400 is about 3639.0108546142. The cubic root of 13242400 is about 236.5859232153.

Adding to 13242400 its reverse (424231), we get a palindrome (13666631).

The spelling of 13242400 in words is "thirteen million, two hundred forty-two thousand, four hundred".