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129361680 = 24325725667
BaseRepresentation
bin1111011010111…
…10011100010000
3100000102020212100
413231132130100
5231104033210
620500400400
73130361520
oct755363420
9300366770
10129361680
1167026388
12373a6100
1320a54096
1413275680
15b5545c0
hex7b5e710

129361680 has 120 divisors (see below), whose sum is σ = 496521792. Its totient is φ = 29567232.

The previous prime is 129361679. The next prime is 129361691. The reversal of 129361680 is 86163921.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 7794 + ... + 17873.

Almost surely, 2129361680 is an apocalyptic number.

129361680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129361680 is an abundant number, since it is smaller than the sum of its proper divisors (367160112).

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

129361680 is a wasteful number, since it uses less digits than its factorization.

129361680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25693 (or 25684 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 129361680 is about 11373.7276211451. The cubic root of 129361680 is about 505.7492130567.

The spelling of 129361680 in words is "one hundred twenty-nine million, three hundred sixty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 25667 51334 77001 102668 128335 154002 179669 205336 231003 256670 308004 359338 385005 410672 462006 513340 539007 616008 718676 770010 898345 924012 1026680 1078014 1155015 1232016 1437352 1540020 1617021 1796690 1848024 2053360 2156028 2310030 2695035 2874704 3080040 3234042 3593380 3696048 4312056 4620060 5390070 6160080 6468084 7186760 8085105 8624112 9240120 10780140 12936168 14373520 16170210 18480240 21560280 25872336 32340420 43120560 64680840 129361680