13271940 has 72 divisors (see below), whose sum is σ = 43924608. Its totient is φ = 3216960.

The previous prime is 13271939. The next prime is 13271941. The reversal of 13271940 is 4917231.

It is an interprime number because it is at equal distance from previous prime (13271939) and next prime (13271941).

It is a super-3 number, since 3×13271940³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13271941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1372 + ... + 5331.

It is an arithmetic number, because the mean of its divisors is an integer number (610064).

Almost surely, 2^13271940 is an apocalyptic number.

13271940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13271940 is an abundant number, since it is smaller than the sum of its proper divisors (30652668).

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

13271940 is a wasteful number, since it uses less digits than its factorization.

13271940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6729 (or 6724 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13271940 is about 3643.0673888909. The cubic root of 13271940 is about 236.7617110375.

It can be divided in two parts, 13 and 271940, that added together give a triangular number (271953 = T₇₃₇).

The spelling of 13271940 in words is "thirteen million, two hundred seventy-one thousand, nine hundred forty".