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117862080 = 2635717539
BaseRepresentation
bin1110000011001…
…10111011000000
322012210000101020
413001212323000
5220133041310
615410105440
72630545140
oct701467300
9265700336
10117862080
1160591586
123357b280
131b558a9b
1411920920
15a532170
hex7066ec0

117862080 has 112 divisors (see below), whose sum is σ = 427695360. Its totient is φ = 26938368.

The previous prime is 117862067. The next prime is 117862099. The reversal of 117862080 is 80268711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 2050 + ... + 15489.

Almost surely, 2117862080 is an apocalyptic number.

117862080 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 117862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213847680).

117862080 is an abundant number, since it is smaller than the sum of its proper divisors (309833280).

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

117862080 is a wasteful number, since it uses less digits than its factorization.

117862080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17566 (or 17556 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 117862080 is about 10856.4303525606. The cubic root of 117862080 is about 490.2956427729.

The spelling of 117862080 in words is "one hundred seventeen million, eight hundred sixty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 17539 35078 52617 70156 87695 105234 122773 140312 175390 210468 245546 263085 280624 350780 368319 420936 491092 526170 561248 613865 701560 736638 841872 982184 1052340 1122496 1227730 1403120 1473276 1683744 1841595 1964368 2104680 2455460 2806240 2946552 3367488 3683190 3928736 4209360 4910920 5612480 5893104 7366380 7857472 8418720 9821840 11786208 14732760 16837440 19643680 23572416 29465520 39287360 58931040 117862080