113705280 has 168 divisors, whose sum is σ = 421321992. Its totient is φ = 27979776.

The previous prime is 113705257. The next prime is 113705309. The reversal of 113705280 is 82507311.

113705280 is a `hidden beast` number, since 1 + 137 + 0 + 528 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11128896 + 102576384 = 3336^2 + 10128^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 35922 + ... + 38958.

It is an arithmetic number, because the mean of its divisors is an integer number (2507869).

Almost surely, 2^113705280 is an apocalyptic number.

113705280 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 113705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210660996).

113705280 is an abundant number, since it is smaller than the sum of its proper divisors (307616712).

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

113705280 is a wasteful number, since it uses less digits than its factorization.

113705280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 113705280 is about 10663.2677918169. The cubic root of 113705280 is about 484.4625498631.

The spelling of 113705280 in words is "one hundred thirteen million, seven hundred five thousand, two hundred eighty".