113785830 has 128 divisors (see below), whose sum is σ = 322237440. Its totient is φ = 28512000.

The previous prime is 113785823. The next prime is 113785843. The reversal of 113785830 is 38587311.

113785830 is a `hidden beast` number, since 1 + 1 + 3 + 78 + 583 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 453205 + ... + 453455.

It is an arithmetic number, because the mean of its divisors is an integer number (2517480).

Almost surely, 2^113785830 is an apocalyptic number.

113785830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113785830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161118720).

113785830 is an abundant number, since it is smaller than the sum of its proper divisors (208451610).

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

113785830 is a wasteful number, since it uses less digits than its factorization.

113785830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 113785830 is about 10667.0441079054. The cubic root of 113785830 is about 484.5769222919.

The spelling of 113785830 in words is "one hundred thirteen million, seven hundred eighty-five thousand, eight hundred thirty".