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115860096 = 27321141223
BaseRepresentation
bin1101110011111…
…10001010000000
322002000022011200
412321332022000
5214130010341
615255141200
72604536352
oct671761200
9262008150
10115860096
115a444450
1232974800
131b007791
141155d0d2
15a288db6
hex6e7e280

115860096 has 192 divisors, whose sum is σ = 374250240. Its totient is φ = 34099200.

The previous prime is 115860089. The next prime is 115860161. The reversal of 115860096 is 690068511.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 115860096.

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, 519441 + ... + 519663.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220).

Almost surely, 2115860096 is an apocalyptic number.

115860096 is a gapful number since it is divisible by the number (16) 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 115860096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187125120).

115860096 is an abundant number, since it is smaller than the sum of its proper divisors (258390144).

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

115860096 is a wasteful number, since it uses less digits than its factorization.

115860096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 115860096 is about 10763.8327746208. The cubic root of 115860096 is about 487.5037506615.

The spelling of 115860096 in words is "one hundred fifteen million, eight hundred sixty thousand, ninety-six".