13253240 has 128 divisors (see below), whose sum is σ = 40158720. Its totient is φ = 3801600.

The previous prime is 13253239. The next prime is 13253249. The reversal of 13253240 is 4235231.

It is a happy number.

13253240 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

13253240 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13253249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39875 + ... + 40205.

It is an arithmetic number, because the mean of its divisors is an integer number (313740).

Almost surely, 2^13253240 is an apocalyptic number.

13253240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3640×3641.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13253240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20079360).

13253240 is an abundant number, since it is smaller than the sum of its proper divisors (26905480).

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

13253240 is a wasteful number, since it uses less digits than its factorization.

13253240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 13253240 is about 3640.4999656641. The cubic root of 13253240 is about 236.6504606594.

Adding to 13253240 its reverse (4235231), we get a palindrome (17488471).

Subtracting from 13253240 its reverse (4235231), we obtain a square (9018009 = 3003²).

The spelling of 13253240 in words is "thirteen million, two hundred fifty-three thousand, two hundred forty".