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117017568 = 2533167811
BaseRepresentation
bin1101111100110…
…00101111100000
322011012002221000
412332120233200
5214424030233
615340032000
72620430043
oct676305740
9264162830
10117017568
1160065038
1233232600
131b321585
1411780c5a
15a416d13
hex6f98be0

117017568 has 96 divisors (see below), whose sum is σ = 343768320. Its totient is φ = 38724480.

The previous prime is 117017557. The next prime is 117017609. The reversal of 117017568 is 865710711.

It is a happy number.

117017568 is a `hidden beast` number, since 11 + 70 + 17 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1170175682 = 27386222441269248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143883 + ... + 144693.

It is an arithmetic number, because the mean of its divisors is an integer number (3580920).

Almost surely, 2117017568 is an apocalyptic number.

117017568 is a gapful number since it is divisible by the number (18) 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 117017568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171884160).

117017568 is an abundant number, since it is smaller than the sum of its proper divisors (226750752).

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

117017568 is a wasteful number, since it uses less digits than its factorization.

117017568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The square root of 117017568 is about 10817.4658769973. The cubic root of 117017568 is about 489.1218033739.

The spelling of 117017568 in words is "one hundred seventeen million, seventeen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 167 216 288 334 432 501 668 811 864 1002 1336 1503 1622 2004 2433 2672 3006 3244 4008 4509 4866 5344 6012 6488 7299 8016 9018 9732 12024 12976 14598 16032 18036 19464 21897 24048 25952 29196 36072 38928 43794 48096 58392 72144 77856 87588 116784 135437 144288 175176 233568 270874 350352 406311 541748 700704 812622 1083496 1218933 1625244 2166992 2437866 3250488 3656799 4333984 4875732 6500976 7313598 9751464 13001952 14627196 19502928 29254392 39005856 58508784 117017568