11583140 has 24 divisors (see below), whose sum is σ = 24426360. Its totient is φ = 4613888.

The previous prime is 11583139. The next prime is 11583149. The reversal of 11583140 is 4138511.

11583140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 440896 + 11142244 = 664^2 + 3338^2 .

It is not an unprimeable number, because it can be changed into a prime (11583149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4304 + ... + 6456.

It is an arithmetic number, because the mean of its divisors is an integer number (1017765).

Almost surely, 2^11583140 is an apocalyptic number.

11583140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11583140 is an abundant number, since it is smaller than the sum of its proper divisors (12843220).

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

11583140 is a wasteful number, since it uses less digits than its factorization.

11583140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 11583140 is about 3403.4012399363. The cubic root of 11583140 is about 226.2605135373.

The spelling of 11583140 in words is "eleven million, five hundred eighty-three thousand, one hundred forty".