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115806140 = 22519417433
BaseRepresentation
bin1101110011100…
…00111110111100
322001220120011022
412321300332330
5214121244030
615254043312
72604223142
oct671607674
9261816138
10115806140
115a40795a
1232949538
131acb9058
1411547592
15a277de5
hex6e70fbc

115806140 has 48 divisors (see below), whose sum is σ = 262271520. Its totient is φ = 42808320.

The previous prime is 115806139. The next prime is 115806149. The reversal of 115806140 is 41608511.

It is a super-2 number, since 2×1158061402 = 26822124123399200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115806149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11864 + ... + 19296.

It is an arithmetic number, because the mean of its divisors is an integer number (5463990).

Almost surely, 2115806140 is an apocalyptic number.

115806140 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 115806140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131135760).

115806140 is an abundant number, since it is smaller than the sum of its proper divisors (146465380).

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

115806140 is a wasteful number, since it uses less digits than its factorization.

115806140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7502 (or 7500 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 115806140 is about 10761.3261264586. The cubic root of 115806140 is about 487.4280621442.

The spelling of 115806140 in words is "one hundred fifteen million, eight hundred six thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 380 410 779 820 1558 3116 3895 7433 7790 14866 15580 29732 37165 74330 141227 148660 282454 304753 564908 609506 706135 1219012 1412270 1523765 2824540 3047530 5790307 6095060 11580614 23161228 28951535 57903070 115806140