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117218880 = 2633513567
BaseRepresentation
bin1101111110010…
…01111001000000
322011120100002000
412333021321000
5220002001010
615344224000
72622226002
oct677117100
9264510060
10117218880
1160192309
123330b000
131b3920ac
14117d4372
15a4567c0
hex6fc9e40

117218880 has 112 divisors (see below), whose sum is σ = 413552640. Its totient is φ = 31256064.

The previous prime is 117218873. The next prime is 117218891. The reversal of 117218880 is 88812711.

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

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, 1857 + ... + 15423.

Almost surely, 2117218880 is an apocalyptic number.

117218880 is a gapful number since it is divisible by the number (10) 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 117218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206776320).

117218880 is an abundant number, since it is smaller than the sum of its proper divisors (296333760).

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

117218880 is a wasteful number, since it uses less digits than its factorization.

117218880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13593 (or 13577 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The square root of 117218880 is about 10826.7668304069. The cubic root of 117218880 is about 489.4021307311.

The spelling of 117218880 in words is "one hundred seventeen million, two hundred eighteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 13567 27134 40701 54268 67835 81402 108536 122103 135670 162804 203505 217072 244206 271340 325608 366309 407010 434144 488412 542680 610515 651216 732618 814020 868288 976824 1085360 1221030 1302432 1465236 1628040 1831545 1953648 2170720 2442060 2604864 2930472 3256080 3663090 3907296 4341440 4884120 5860944 6512160 7326180 7814592 9768240 11721888 13024320 14652360 19536480 23443776 29304720 39072960 58609440 117218880