113306720 has 72 divisors (see below), whose sum is σ = 274772736. Its totient is φ = 44153088.

The previous prime is 113306663. The next prime is 113306723. The reversal of 113306720 is 27603311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113306723) 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 11 ways as a sum of consecutive naturals, for example, 295649 + ... + 296031.

It is an arithmetic number, because the mean of its divisors is an integer number (3816288).

Almost surely, 2^113306720 is an apocalyptic number.

113306720 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 113306720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137386368).

113306720 is an abundant number, since it is smaller than the sum of its proper divisors (161466016).

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

113306720 is an equidigital number, since it uses as much as digits as its factorization.

113306720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 113306720 is about 10644.5629313749. The cubic root of 113306720 is about 483.8958408012.

The spelling of 113306720 in words is "one hundred thirteen million, three hundred six thousand, seven hundred twenty".