13531940 has 12 divisors (see below), whose sum is σ = 28417116. Its totient is φ = 5412768.

The previous prime is 13531939. The next prime is 13531943. The reversal of 13531940 is 4913531.

It can be written as a sum of positive squares in 2 ways, for example, as 1532644 + 11999296 = 1238^2 + 3464^2 .

It is a super-2 number, since 2×13531940² = 366226800327200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 338279 + ... + 338318.

It is an arithmetic number, because the mean of its divisors is an integer number (2368093).

Almost surely, 2^13531940 is an apocalyptic number.

13531940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13531940 is an abundant number, since it is smaller than the sum of its proper divisors (14885176).

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

13531940 is a wasteful number, since it uses less digits than its factorization.

13531940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676606 (or 676604 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 13531940 is about 3678.5785298128. The cubic root of 13531940 is about 238.2977935607.

The spelling of 13531940 in words is "thirteen million, five hundred thirty-one thousand, nine hundred forty".