113730320 has 120 divisors (see below), whose sum is σ = 300814080. Its totient is φ = 39916800.

The previous prime is 113730283. The next prime is 113730349. The reversal of 113730320 is 23037311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 113730292 and 113730301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299891 + ... + 300269.

It is an arithmetic number, because the mean of its divisors is an integer number (2506784).

Almost surely, 2^113730320 is an apocalyptic number.

113730320 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 113730320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150407040).

113730320 is an abundant number, since it is smaller than the sum of its proper divisors (187083760).

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

113730320 is a wasteful number, since it uses less digits than its factorization.

113730320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 113730320 is about 10664.4418513113. The cubic root of 113730320 is about 484.4981097828.

Adding to 113730320 its reverse (23037311), we get a palindrome (136767631).

The spelling of 113730320 in words is "one hundred thirteen million, seven hundred thirty thousand, three hundred twenty".