113909280 has 96 divisors (see below), whose sum is σ = 360448704. Its totient is φ = 30237696.

The previous prime is 113909267. The next prime is 113909293. The reversal of 113909280 is 82909311.

It is an interprime number because it is at equal distance from previous prime (113909267) and next prime (113909293).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 146974 + ... + 147746.

It is an arithmetic number, because the mean of its divisors is an integer number (3754674).

Almost surely, 2^113909280 is an apocalyptic number.

113909280 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 113909280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180224352).

113909280 is an abundant number, since it is smaller than the sum of its proper divisors (246539424).

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

113909280 is a wasteful number, since it uses less digits than its factorization.

113909280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 113909280 is about 10672.8290532548. The cubic root of 113909280 is about 484.7521034493.

The spelling of 113909280 in words is "one hundred thirteen million, nine hundred nine thousand, two hundred eighty".