113935248 has 200 divisors, whose sum is σ = 397305920. Its totient is φ = 30792960.

The previous prime is 113935243. The next prime is 113935259. The reversal of 113935248 is 842539311.

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

It is not an unprimeable number, because it can be changed into a prime (113935243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172038 + ... + 172698.

Almost surely, 2^113935248 is an apocalyptic number.

113935248 is a gapful number since it is divisible by the number (18) 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 113935248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198652960).

113935248 is an abundant number, since it is smaller than the sum of its proper divisors (283370672).

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

113935248 is a wasteful number, since it uses less digits than its factorization.

113935248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 692 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 113935248 is about 10674.0455311002. The cubic root of 113935248 is about 484.7889371066.

It can be divided in two parts, 11393 and 5248, that added together give a square (16641 = 129²).

The spelling of 113935248 in words is "one hundred thirteen million, nine hundred thirty-five thousand, two hundred forty-eight".