113950080 has 192 divisors, whose sum is σ = 400345920. Its totient is φ = 29859840.

The previous prime is 113950037. The next prime is 113950091. The reversal of 113950080 is 80059311.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 420345 + ... + 420615.

It is an arithmetic number, because the mean of its divisors is an integer number (2085135).

Almost surely, 2^113950080 is an apocalyptic number.

113950080 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 113950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200172960).

113950080 is an abundant number, since it is smaller than the sum of its proper divisors (286395840).

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

113950080 is a wasteful number, since it uses less digits than its factorization.

113950080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 113950080 is about 10674.7402778709. The cubic root of 113950080 is about 484.8099726733.

The spelling of 113950080 in words is "one hundred thirteen million, nine hundred fifty thousand, eighty".