13838240 has 48 divisors (see below), whose sum is σ = 35212968. Its totient is φ = 5108736.

The previous prime is 13838207. The next prime is 13838243. The reversal of 13838240 is 4283831.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4376464 + 9461776 = 2092^2 + 3076^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13838243) 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 7 ways as a sum of consecutive naturals, for example, 1247 + ... + 5406.

Almost surely, 2^13838240 is an apocalyptic number.

13838240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13838240 is an abundant number, since it is smaller than the sum of its proper divisors (21374728).

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

13838240 is a wasteful number, since it uses less digits than its factorization.

13838240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6681 (or 6673 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 13838240 is about 3719.9784945615. The cubic root of 13838240 is about 240.0823791278.

The spelling of 13838240 in words is "thirteen million, eight hundred thirty-eight thousand, two hundred forty".