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115805916 = 22338312919
BaseRepresentation
bin1101110011100…
…00111011011100
322001220112212000
412321300323130
5214121242131
615254042300
72604222402
oct671607334
9261815760
10115805916
115a407776
1232949390
131acb8c15
1411547472
15a277ce6
hex6e70edc

115805916 has 48 divisors (see below), whose sum is σ = 303878400. Its totient is φ = 38133936.

The previous prime is 115805891. The next prime is 115805927. The reversal of 115805916 is 619508511.

115805916 is a `hidden beast` number, since 11 + 58 + 0 + 591 + 6 = 666.

It is a super-2 number, since 2×1158059162 = 26822020361198112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2505 + ... + 15423.

It is an arithmetic number, because the mean of its divisors is an integer number (6330800).

Almost surely, 2115805916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115805916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151939200).

115805916 is an abundant number, since it is smaller than the sum of its proper divisors (188072484).

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

115805916 is a wasteful number, since it uses less digits than its factorization.

115805916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13015 (or 13007 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The square root of 115805916 is about 10761.3157188143. The cubic root of 115805916 is about 487.4277478720.

The spelling of 115805916 in words is "one hundred fifteen million, eight hundred five thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 2241 2988 4482 8964 12919 25838 38757 51676 77514 116271 155028 232542 348813 465084 697626 1072277 1395252 2144554 3216831 4289108 6433662 9650493 12867324 19300986 28951479 38601972 57902958 115805916