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117751680 = 2732520443
BaseRepresentation
bin1110000010010…
…11111110000000
322012120101221100
413001023332000
5220121023210
615403454400
72626605234
oct701137600
9265511840
10117751680
1160516642
1233527400
131b51a767
14118d25c4
15a50e5c0
hex704bf80

117751680 has 96 divisors (see below), whose sum is σ = 406631160. Its totient is φ = 31398912.

The previous prime is 117751661. The next prime is 117751693. The reversal of 117751680 is 86157711.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 4462 + ... + 15981.

Almost surely, 2117751680 is an apocalyptic number.

117751680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117751680 is an abundant number, since it is smaller than the sum of its proper divisors (288879480).

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

117751680 is a wasteful number, since it uses less digits than its factorization.

117751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20468 (or 20453 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The square root of 117751680 is about 10851.3446171431. The cubic root of 117751680 is about 490.1425102632.

The spelling of 117751680 in words is "one hundred seventeen million, seven hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 20443 40886 61329 81772 102215 122658 163544 183987 204430 245316 306645 327088 367974 408860 490632 613290 654176 735948 817720 919935 981264 1226580 1308352 1471896 1635440 1839870 1962528 2453160 2616704 2943792 3270880 3679740 3925056 4906320 5887584 6541760 7359480 7850112 9812640 11775168 13083520 14718960 19625280 23550336 29437920 39250560 58875840 117751680