13183040 has 56 divisors (see below), whose sum is σ = 33817560. Its totient is φ = 4866048.

The previous prime is 13183039. The next prime is 13183057. The reversal of 13183040 is 4038131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1183744 + 11999296 = 1088^2 + 3464^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2576 + ... + 5744.

It is an arithmetic number, because the mean of its divisors is an integer number (603885).

Almost surely, 2^13183040 is an apocalyptic number.

13183040 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 13183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16908780).

13183040 is an abundant number, since it is smaller than the sum of its proper divisors (20634520).

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

13183040 is a wasteful number, since it uses less digits than its factorization.

13183040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 13183040 is about 3630.8456315299. The cubic root of 13183040 is about 236.2318892829.

The spelling of 13183040 in words is "thirteen million, one hundred eighty-three thousand, forty".