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117188808 = 233111961383
BaseRepresentation
bin1101111110000…
…10100011001000
322011111210211020
412333002203020
5220000020213
615343432440
72622042222
oct677024310
9264453736
10117188808
1160171760
12332b5720
131b3814b9
14117c7412
15a44c923
hex6fc28c8

117188808 has 128 divisors (see below), whose sum is σ = 342835200. Its totient is φ = 33004800.

The previous prime is 117188807. The next prime is 117188821. The reversal of 117188808 is 808881711.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 117188808.

It is not an unprimeable number, because it can be changed into a prime (117188807) 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 31 ways as a sum of consecutive naturals, for example, 305785 + ... + 306167.

It is an arithmetic number, because the mean of its divisors is an integer number (2678400).

Almost surely, 2117188808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117188808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171417600).

117188808 is an abundant number, since it is smaller than the sum of its proper divisors (225646392).

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

117188808 is a wasteful number, since it uses less digits than its factorization.

117188808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 42.

The square root of 117188808 is about 10825.3779610691. The cubic root of 117188808 is about 489.3602758138.

The spelling of 117188808 in words is "one hundred seventeen million, one hundred eighty-eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 61 66 76 88 114 122 132 152 183 209 228 244 264 366 383 418 456 488 627 671 732 766 836 1149 1159 1254 1342 1464 1532 1672 2013 2298 2318 2508 2684 3064 3477 4026 4213 4596 4636 5016 5368 6954 7277 8052 8426 9192 9272 12639 12749 13908 14554 16104 16852 21831 23363 25278 25498 27816 29108 33704 38247 43662 46726 50556 50996 58216 70089 76494 80047 87324 93452 101112 101992 140178 152988 160094 174648 186904 240141 256993 280356 305976 320188 443897 480282 513986 560712 640376 770979 887794 960564 1027972 1331691 1541958 1775588 1921128 2055944 2663382 3083916 3551176 4882867 5326764 6167832 9765734 10653528 14648601 19531468 29297202 39062936 58594404 117188808