113924772 has 96 divisors (see below), whose sum is σ = 324293760. Its totient is φ = 34369920.

The previous prime is 113924771. The next prime is 113924777. The reversal of 113924772 is 277429311.

It is a super-3 number, since 3×113924772³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113924771) 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 31 ways as a sum of consecutive naturals, for example, 73647 + ... + 75177.

It is an arithmetic number, because the mean of its divisors is an integer number (3378060).

Almost surely, 2^113924772 is an apocalyptic number.

113924772 is a gapful number since it is divisible by the number (12) 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 113924772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162146880).

113924772 is an abundant number, since it is smaller than the sum of its proper divisors (210368988).

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

113924772 is a wasteful number, since it uses less digits than its factorization.

113924772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1602 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 113924772 is about 10673.5547967863. The cubic root of 113924772 is about 484.7740783611.

The spelling of 113924772 in words is "one hundred thirteen million, nine hundred twenty-four thousand, seven hundred seventy-two".