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117853920 = 2533527281
BaseRepresentation
bin1110000011001…
…00111011100000
322012202121012000
413001210323200
5220132311140
615410004000
72630512302
oct701447340
9265677160
10117853920
1160586438
1233576600
131b555162
141191b972
15a52ea30
hex7064ee0

117853920 has 96 divisors (see below), whose sum is σ = 412503840. Its totient is φ = 31426560.

The previous prime is 117853919. The next prime is 117854003. The reversal of 117853920 is 29358711.

117853920 is a `hidden beast` number, since 117 + 8 + 539 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 9321 + ... + 17960.

It is an arithmetic number, because the mean of its divisors is an integer number (4296915).

Almost surely, 2117853920 is an apocalyptic number.

117853920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117853920 is an abundant number, since it is smaller than the sum of its proper divisors (294649920).

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

117853920 is a wasteful number, since it uses less digits than its factorization.

117853920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27305 (or 27291 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 117853920 is about 10856.0545319190. The cubic root of 117853920 is about 490.2843275566.

The spelling of 117853920 in words is "one hundred seventeen million, eight hundred fifty-three thousand, nine hundred twenty".

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 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 27281 54562 81843 109124 136405 163686 218248 245529 272810 327372 409215 436496 491058 545620 654744 736587 818430 872992 982116 1091240 1227645 1309488 1473174 1636860 1964232 2182480 2455290 2618976 2946348 3273720 3682935 3928464 4364960 4910580 5892696 6547440 7365870 7856928 9821160 11785392 13094880 14731740 19642320 23570784 29463480 39284640 58926960 117853920