11513220 has 48 divisors (see below), whose sum is σ = 32393088. Its totient is φ = 3055360.

The previous prime is 11513219. The next prime is 11513239. The reversal of 11513220 is 2231511.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11513220.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18352 + ... + 18968.

It is an arithmetic number, because the mean of its divisors is an integer number (674856).

Almost surely, 2^11513220 is an apocalyptic number.

11513220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11513220 is an abundant number, since it is smaller than the sum of its proper divisors (20879868).

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

11513220 is a wasteful number, since it uses less digits than its factorization.

11513220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 11513220 is about 3393.1136143666. The cubic root of 11513220 is about 225.8043311234.

Adding to 11513220 its reverse (2231511), we get a palindrome (13744731).

It can be divided in two parts, 1151 and 3220, that added together give a triangular number (4371 = T₉₃).

The spelling of 11513220 in words is "eleven million, five hundred thirteen thousand, two hundred twenty".