13140384 has 24 divisors (see below), whose sum is σ = 34493760. Its totient is φ = 4380096.

The previous prime is 13140367. The next prime is 13140389. The reversal of 13140384 is 48304131.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13140389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68344 + ... + 68535.

It is an arithmetic number, because the mean of its divisors is an integer number (1437240).

Almost surely, 2^13140384 is an apocalyptic number.

It is an amenable number.

13140384 is an abundant number, since it is smaller than the sum of its proper divisors (21353376).

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

13140384 is a wasteful number, since it uses less digits than its factorization.

13140384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136892 (or 136884 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13140384 is about 3624.9667584683. The cubic root of 13140384 is about 235.9768243066.

The spelling of 13140384 in words is "thirteen million, one hundred forty thousand, three hundred eighty-four".