13583140 has 12 divisors (see below), whose sum is σ = 28524636. Its totient is φ = 5433248.

The previous prime is 13583131. The next prime is 13583149. The reversal of 13583140 is 4138531.

It is an interprime number because it is at equal distance from previous prime (13583131) and next prime (13583149).

It can be written as a sum of positive squares in 2 ways, for example, as 1597696 + 11985444 = 1264^2 + 3462^2 .

It is not an unprimeable number, because it can be changed into a prime (13583149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 339559 + ... + 339598.

It is an arithmetic number, because the mean of its divisors is an integer number (2377053).

Almost surely, 2^13583140 is an apocalyptic number.

13583140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13583140 is an abundant number, since it is smaller than the sum of its proper divisors (14941496).

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

13583140 is a wasteful number, since it uses less digits than its factorization.

13583140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679166 (or 679164 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 13583140 is about 3685.5311693160. The cubic root of 13583140 is about 238.5979597212.

The spelling of 13583140 in words is "thirteen million, five hundred eighty-three thousand, one hundred forty".