113380080 has 160 divisors (see below), whose sum is σ = 389760768. Its totient is φ = 27033600.

The previous prime is 113380079. The next prime is 113380081. The reversal of 113380080 is 80083311.

It is an interprime number because it is at equal distance from previous prime (113380079) and next prime (113380081).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 113380080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113380081) 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 31 ways as a sum of consecutive naturals, for example, 176560 + ... + 177200.

Almost surely, 2^113380080 is an apocalyptic number.

113380080 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 113380080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194880384).

113380080 is an abundant number, since it is smaller than the sum of its proper divisors (276380688).

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

113380080 is a wasteful number, since it uses less digits than its factorization.

113380080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 113380080 is about 10648.0082644596. The cubic root of 113380080 is about 484.0002504381. Note that the first 3 decimals are identical.

The spelling of 113380080 in words is "one hundred thirteen million, three hundred eighty thousand, eighty".