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114659985 = 35111741997
BaseRepresentation
bin1101101010110…
…01001010010001
321222202022221010
412311121022101
5213323104420
615213321133
72561410446
oct665311221
9258668833
10114659985
11597a4820
12324961a9
131a9a745b
14113299cd
15a0ed4e0
hex6d59291

114659985 has 64 divisors (see below), whose sum is σ = 217292544. Its totient is φ = 50995200.

The previous prime is 114659971. The next prime is 114659989. The reversal of 114659985 is 589956411.

It is not a de Polignac number, because 114659985 - 24 = 114659969 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (114659989) 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 63 ways as a sum of consecutive naturals, for example, 114507 + ... + 115503.

It is an arithmetic number, because the mean of its divisors is an integer number (3395196).

Almost surely, 2114659985 is an apocalyptic number.

114659985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114659985 is a deficient number, since it is larger than the sum of its proper divisors (102632559).

114659985 is a wasteful number, since it uses less digits than its factorization.

114659985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074.

The product of its digits is 388800, while the sum is 48.

The square root of 114659985 is about 10707.9402781301. The cubic root of 114659985 is about 485.8146721781.

The spelling of 114659985 in words is "one hundred fourteen million, six hundred fifty-nine thousand, nine hundred eighty-five".

Divisors: 1 3 5 11 15 17 33 41 51 55 85 123 165 187 205 255 451 561 615 697 935 997 1353 2091 2255 2805 2991 3485 4985 6765 7667 10455 10967 14955 16949 23001 32901 38335 40877 50847 54835 84745 115005 122631 164505 186439 204385 254235 449647 559317 613155 694909 932195 1348941 2084727 2248235 2796585 3474545 6744705 7643999 10423635 22931997 38219995 114659985