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115945992 = 2338472
BaseRepresentation
bin1101110100100…
…11001000001000
322002011200000000
412322103020020
5214140232432
615301043000
72605344651
oct672231010
9262150000
10115945992
115a4a2a38
12329b6460
131b0378c6
1411582528
15a2a457c
hex6e93208

115945992 has 108 divisors (see below), whose sum is σ = 333167055. Its totient is φ = 37826352.

The previous prime is 115945987. The next prime is 115946011. The reversal of 115945992 is 299549511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

115945992 is a `hidden beast` number, since 1 + 1 + 59 + 4 + 599 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57972996 + 57972996 = 7614^2 + 7614^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7614.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2466913 + ... + 2466959.

Almost surely, 2115945992 is an apocalyptic number.

115945992 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 115945992

115945992 is an abundant number, since it is smaller than the sum of its proper divisors (217221063).

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

115945992 is an frugal number, since it uses more digits than its factorization.

115945992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 52 counting only the distinct ones).

The product of its digits is 145800, while the sum is 45.

The square root of 115945992 is about 10767.8220639087. The cubic root of 115945992 is about 487.6241955762.

Multiplying 115945992 by its product of digits (145800), we get a square (16904925633600 = 41115602).

The spelling of 115945992 in words is "one hundred fifteen million, nine hundred forty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 243 282 324 376 423 486 564 648 729 846 972 1128 1269 1458 1692 1944 2187 2209 2538 2916 3384 3807 4374 4418 5076 5832 6561 6627 7614 8748 8836 10152 11421 13122 13254 15228 17496 17672 19881 22842 26244 26508 30456 34263 39762 45684 52488 53016 59643 68526 79524 91368 102789 119286 137052 159048 178929 205578 238572 274104 308367 357858 411156 477144 536787 616734 715716 822312 1073574 1233468 1431432 1610361 2147148 2466936 3220722 4294296 4831083 6441444 9662166 12882888 14493249 19324332 28986498 38648664 57972996 115945992