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115809320 = 23511436121
BaseRepresentation
bin1101110011100…
…01110000101000
322001220201112002
412321301300220
5214121344240
615254110132
72604235334
oct671616050
9261821462
10115809320
115a40a290
123294b348
131acba633
14115487c4
15a278d15
hex6e71c28

115809320 has 64 divisors (see below), whose sum is σ = 290917440. Its totient is φ = 41126400.

The previous prime is 115809311. The next prime is 115809341. The reversal of 115809320 is 23908511.

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 15 ways as a sum of consecutive naturals, for example, 15860 + ... + 21980.

It is an arithmetic number, because the mean of its divisors is an integer number (4545585).

Almost surely, 2115809320 is an apocalyptic number.

115809320 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 115809320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145458720).

115809320 is an abundant number, since it is smaller than the sum of its proper divisors (175108120).

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

115809320 is a wasteful number, since it uses less digits than its factorization.

115809320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6186 (or 6182 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 115809320 is about 10761.4738767513. The cubic root of 115809320 is about 487.4325236435.

The spelling of 115809320 in words is "one hundred fifteen million, eight hundred nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1720 1892 2365 3784 4730 6121 9460 12242 18920 24484 30605 48968 61210 67331 122420 134662 244840 263203 269324 336655 526406 538648 673310 1052812 1316015 1346620 2105624 2632030 2693240 2895233 5264060 5790466 10528120 11580932 14476165 23161864 28952330 57904660 115809320