13253040 has 120 divisors (see below), whose sum is σ = 45264960. Its totient is φ = 3474432.

The previous prime is 13253033. The next prime is 13253057. The reversal of 13253040 is 4035231.

13253040 is a `hidden beast` number, since 132 + 530 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 56764 + ... + 56996.

It is an arithmetic number, because the mean of its divisors is an integer number (377208).

Almost surely, 2^13253040 is an apocalyptic number.

13253040 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 13253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22632480).

13253040 is an abundant number, since it is smaller than the sum of its proper divisors (32011920).

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

13253040 is a wasteful number, since it uses less digits than its factorization.

13253040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13253040 is about 3640.4724968059. The cubic root of 13253040 is about 236.6492702503.

Adding to 13253040 its reverse (4035231), we get a palindrome (17288271).

The spelling of 13253040 in words is "thirteen million, two hundred fifty-three thousand, forty".