13756240 has 40 divisors (see below), whose sum is σ = 32138568. Its totient is φ = 5475840.

The previous prime is 13756217. The next prime is 13756243. The reversal of 13756240 is 4265731.

13756240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 853776 + 12902464 = 924^2 + 3592^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13756199 and 13756208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13756243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29610 + ... + 30070.

Almost surely, 2^13756240 is an apocalyptic number.

13756240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13756240 is an abundant number, since it is smaller than the sum of its proper divisors (18382328).

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

13756240 is a wasteful number, since it uses less digits than its factorization.

13756240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 13756240 is about 3708.9405495370. The cubic root of 13756240 is about 239.6072279298.

The spelling of 13756240 in words is "thirteen million, seven hundred fifty-six thousand, two hundred forty".