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114635016 = 23324138833
BaseRepresentation
bin1101101010100…
…11000100001000
321222201001200100
412311103010020
5213321310031
615213005400
72561244606
oct665230410
9258631610
10114635016
1159787a91
1232483860
131a998c92
1411320876
15a0e5de6
hex6d53108

114635016 has 48 divisors (see below), whose sum is σ = 318050460. Its totient is φ = 37278720.

The previous prime is 114635009. The next prime is 114635041. The reversal of 114635016 is 610536411.

114635016 is a `hidden beast` number, since 1 + 14 + 635 + 0 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93896100 + 20738916 = 9690^2 + 4554^2 .

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 11 ways as a sum of consecutive naturals, for example, 16465 + ... + 22368.

Almost surely, 2114635016 is an apocalyptic number.

It is an amenable number.

114635016 is an abundant number, since it is smaller than the sum of its proper divisors (203415444).

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

114635016 is a wasteful number, since it uses less digits than its factorization.

114635016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38886 (or 38879 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 114635016 is about 10706.7743041497. The cubic root of 114635016 is about 485.7794050440.

The spelling of 114635016 in words is "one hundred fourteen million, six hundred thirty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 38833 77666 116499 155332 232998 310664 349497 465996 698994 931992 1397988 1592153 2795976 3184306 4776459 6368612 9552918 12737224 14329377 19105836 28658754 38211672 57317508 114635016