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115813008 = 24322927733
BaseRepresentation
bin1101110011100…
…10101010010000
322001220220120200
412321302222100
5214122004013
615254135200
72604252153
oct671625220
9261826520
10115813008
115a412033
1232951500
131acbc20c
1411549c9a
15a279e73
hex6e72a90

115813008 has 60 divisors (see below), whose sum is σ = 335304060. Its totient is φ = 37271808.

The previous prime is 115813007. The next prime is 115813013. The reversal of 115813008 is 800318511.

It can be written as a sum of positive squares in 2 ways, for example, as 41370624 + 74442384 = 6432^2 + 8628^2 .

It is not an unprimeable number, because it can be changed into a prime (115813001) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9691 + ... + 18042.

It is an arithmetic number, because the mean of its divisors is an integer number (5588401).

Almost surely, 2115813008 is an apocalyptic number.

115813008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

115813008 is an abundant number, since it is smaller than the sum of its proper divisors (219491052).

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

115813008 is a wasteful number, since it uses less digits than its factorization.

115813008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27776 (or 27767 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 115813008 is about 10761.6452273804. The cubic root of 115813008 is about 487.4376977581.

The spelling of 115813008 in words is "one hundred fifteen million, eight hundred thirteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 27733 55466 83199 110932 166398 221864 249597 332796 443728 499194 665592 804257 998388 1331184 1608514 1996776 2412771 3217028 3993552 4825542 6434056 7238313 9651084 12868112 14476626 19302168 28953252 38604336 57906504 115813008