113280384 has 256 divisors, whose sum is σ = 379537920. Its totient is φ = 29196288.

The previous prime is 113280311. The next prime is 113280389. The reversal of 113280384 is 483082311.

113280384 = T₂₄₅₆ + T₂₄₅₇ + ... + T₂₄₉₂.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113280389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1690719 + ... + 1690785.

It is an arithmetic number, because the mean of its divisors is an integer number (1482570).

Almost surely, 2^113280384 is an apocalyptic number.

113280384 is a gapful number since it is divisible by the number (14) 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 113280384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189768960).

113280384 is an abundant number, since it is smaller than the sum of its proper divisors (266257536).

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

113280384 is a wasteful number, since it uses less digits than its factorization.

113280384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 113280384 is about 10643.3257960094. The cubic root of 113280384 is about 483.8583470899.

The spelling of 113280384 in words is "one hundred thirteen million, two hundred eighty thousand, three hundred eighty-four".