113490320 has 40 divisors (see below), whose sum is σ = 265663800. Its totient is φ = 45086720.

The previous prime is 113490319. The next prime is 113490323. The reversal of 113490320 is 23094311.

It can be written as a sum of positive squares in 4 ways, for example, as 620944 + 112869376 = 788^2 + 10624^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (113490323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7160 + ... + 16680.

It is an arithmetic number, because the mean of its divisors is an integer number (6641595).

Almost surely, 2^113490320 is an apocalyptic number.

113490320 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 113490320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132831900).

113490320 is an abundant number, since it is smaller than the sum of its proper divisors (152173480).

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

113490320 is a wasteful number, since it uses less digits than its factorization.

113490320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9683 (or 9677 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 113490320 is about 10653.1835617340. The cubic root of 113490320 is about 484.1570648865.

The spelling of 113490320 in words is "one hundred thirteen million, four hundred ninety thousand, three hundred twenty".