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117705760 = 25519311249
BaseRepresentation
bin1110000010000…
…00110000100000
322012111001221121
413001000300200
5220113041020
615402502024
72626324324
oct701006040
9265431847
10117705760
1160495097
1233504914
131b5028a3
14118bd984
15a500baa
hex7040c20

117705760 has 96 divisors (see below), whose sum is σ = 302400000. Its totient is φ = 43130880.

The previous prime is 117705737. The next prime is 117705803. The reversal of 117705760 is 67507711.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93616 + ... + 94864.

It is an arithmetic number, because the mean of its divisors is an integer number (3150000).

Almost surely, 2117705760 is an apocalyptic number.

117705760 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 117705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200000).

117705760 is an abundant number, since it is smaller than the sum of its proper divisors (184694240).

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

117705760 is a wasteful number, since it uses less digits than its factorization.

117705760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 34.

The square root of 117705760 is about 10849.2285440026. The cubic root of 117705760 is about 490.0787878307.

The spelling of 117705760 in words is "one hundred seventeen million, seven hundred five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 76 80 95 124 152 155 160 190 248 304 310 380 496 589 608 620 760 992 1178 1240 1249 1520 2356 2480 2498 2945 3040 4712 4960 4996 5890 6245 9424 9992 11780 12490 18848 19984 23560 23731 24980 38719 39968 47120 47462 49960 77438 94240 94924 99920 118655 154876 189848 193595 199840 237310 309752 379696 387190 474620 619504 735661 759392 774380 949240 1239008 1471322 1548760 1898480 2942644 3097520 3678305 3796960 5885288 6195040 7356610 11770576 14713220 23541152 29426440 58852880 117705760