113038590 has 96 divisors (see below), whose sum is σ = 318536064. Its totient is φ = 25596480.

The previous prime is 113038579. The next prime is 113038591. The reversal of 113038590 is 95830311.

It is a happy number.

It is a super-3 number, since 3×113038590³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113038591) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192277 + ... + 192863.

It is an arithmetic number, because the mean of its divisors is an integer number (3318084).

Almost surely, 2^113038590 is an apocalyptic number.

113038590 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 113038590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159268032).

113038590 is an abundant number, since it is smaller than the sum of its proper divisors (205497474).

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

113038590 is a wasteful number, since it uses less digits than its factorization.

113038590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 113038590 is about 10631.9607787087. The cubic root of 113038590 is about 483.5138408888.

The spelling of 113038590 in words is "one hundred thirteen million, thirty-eight thousand, five hundred ninety".