13279140 has 120 divisors (see below), whose sum is σ = 47648832. Its totient is φ = 3032640.

The previous prime is 13279127. The next prime is 13279141. The reversal of 13279140 is 4197231.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13279141) 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 39 ways as a sum of consecutive naturals, for example, 10755 + ... + 11925.

Almost surely, 2^13279140 is an apocalyptic number.

13279140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13279140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23824416).

13279140 is an abundant number, since it is smaller than the sum of its proper divisors (34369692).

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

13279140 is a wasteful number, since it uses less digits than its factorization.

13279140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1188 counting only the distinct ones).

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

The square root of 13279140 is about 3644.0554331678. The cubic root of 13279140 is about 236.8045175438.

The spelling of 13279140 in words is "thirteen million, two hundred seventy-nine thousand, one hundred forty".