11315232 has 72 divisors (see below), whose sum is σ = 32579820. Its totient is φ = 3724800.

The previous prime is 11315231. The next prime is 11315237. The reversal of 11315232 is 23251311.

It can be written as a sum of positive squares in 2 ways, for example, as 11048976 + 266256 = 3324^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11315231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28894 + ... + 29282.

Almost surely, 2^11315232 is an apocalyptic number.

11315232 is a gapful number since it is divisible by the number (12) 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 11315232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16289910).

11315232 is an abundant number, since it is smaller than the sum of its proper divisors (21264588).

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

11315232 is a wasteful number, since it uses less digits than its factorization.

11315232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 495 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 11315232 is about 3363.8121231722. The cubic root of 11315232 is about 224.5024859059.

Adding to 11315232 its reverse (23251311), we get a palindrome (34566543).

The spelling of 11315232 in words is "eleven million, three hundred fifteen thousand, two hundred thirty-two".