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117556920 = 23345132791
BaseRepresentation
bin1110000000111…
…00011010111000
322012012111210000
413000130122320
5220043310140
615355353000
72625134355
oct700343270
9265174700
10117556920
11603a3288
1233452760
131b47cc10
141188162c
15a4c1a30
hex701c6b8

117556920 has 160 divisors (see below), whose sum is σ = 425668320. Its totient is φ = 28926720.

The previous prime is 117556897. The next prime is 117556931. The reversal of 117556920 is 29655711.

117556920 is a `hidden beast` number, since 1 + 1 + 75 + 569 + 20 = 666.

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 39 ways as a sum of consecutive naturals, for example, 40725 + ... + 43515.

It is an arithmetic number, because the mean of its divisors is an integer number (2660427).

Almost surely, 2117556920 is an apocalyptic number.

117556920 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 117556920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212834160).

117556920 is an abundant number, since it is smaller than the sum of its proper divisors (308111400).

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

117556920 is a wasteful number, since it uses less digits than its factorization.

117556920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 117556920 is about 10842.3669002667. The cubic root of 117556920 is about 489.8721310105.

The spelling of 117556920 in words is "one hundred seventeen million, five hundred fifty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2791 2808 3240 3510 4212 4680 5265 5582 7020 8373 8424 10530 11164 13955 14040 16746 21060 22328 25119 27910 33492 36283 41865 42120 50238 55820 66984 72566 75357 83730 100476 108849 111640 125595 145132 150714 167460 181415 200952 217698 226071 251190 290264 301428 326547 334920 362830 376785 435396 452142 502380 544245 602856 653094 725660 753570 870792 904284 979641 1004760 1088490 1130355 1306188 1451320 1507140 1632735 1808568 1959282 2176980 2260710 2612376 2938923 3014280 3265470 3918564 4353960 4521420 4898205 5877846 6530940 7837128 9042840 9796410 11755692 13061880 14694615 19592820 23511384 29389230 39185640 58778460 117556920