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115928232 = 2337719719
BaseRepresentation
bin1101110100011…
…10110010101000
322002010202122020
412322032302220
5214134200412
615300424440
72605242120
oct672166250
9262122566
10115928232
115a490662
12329a8120
131b02c7b4
1411579c80
15a29e18c
hex6e8eca8

115928232 has 64 divisors (see below), whose sum is σ = 335923200. Its totient is φ = 32652480.

The previous prime is 115928221. The next prime is 115928233. The reversal of 115928232 is 232829511.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 115928193 and 115928202.

It is not an unprimeable number, because it can be changed into a prime (115928233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7069 + ... + 16787.

It is an arithmetic number, because the mean of its divisors is an integer number (5248800).

Almost surely, 2115928232 is an apocalyptic number.

115928232 is a gapful number since it is divisible by the number (12) 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 115928232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167961600).

115928232 is an abundant number, since it is smaller than the sum of its proper divisors (219994968).

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

115928232 is a wasteful number, since it uses less digits than its factorization.

115928232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9806 (or 9802 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 115928232 is about 10766.9973530228. The cubic root of 115928232 is about 487.5992970644.

The spelling of 115928232 in words is "one hundred fifteen million, nine hundred twenty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 994 1491 1704 1988 2982 3976 5964 9719 11928 19438 29157 38876 58314 68033 77752 116628 136066 204099 233256 272132 408198 544264 690049 816396 1380098 1632792 2070147 2760196 4140294 4830343 5520392 8280588 9660686 14491029 16561176 19321372 28982058 38642744 57964116 115928232