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117167680 = 2657192753
BaseRepresentation
bin1101111101111…
…01011001000000
322011110201211201
412332331121000
5214443331210
615343150544
72621623510
oct676753100
9264421751
10117167680
11601578a3
12332a5454
131b3749b6
14117bd840
15a44653a
hex6fbd640

117167680 has 112 divisors (see below), whose sum is σ = 335767680. Its totient is φ = 38043648.

The previous prime is 117167669. The next prime is 117167717. The reversal of 117167680 is 86761711.

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, 41184 + ... + 43936.

Almost surely, 2117167680 is an apocalyptic number.

117167680 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 117167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167883840).

117167680 is an abundant number, since it is smaller than the sum of its proper divisors (218600000).

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

117167680 is a wasteful number, since it uses less digits than its factorization.

117167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 37.

The square root of 117167680 is about 10824.4020620079. The cubic root of 117167680 is about 489.3308650834.

The spelling of 117167680 in words is "one hundred seventeen million, one hundred sixty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 133 140 152 160 190 224 266 280 304 320 380 448 532 560 608 665 760 1064 1120 1216 1330 1520 2128 2240 2660 2753 3040 4256 5320 5506 6080 8512 10640 11012 13765 19271 21280 22024 27530 38542 42560 44048 52307 55060 77084 88096 96355 104614 110120 154168 176192 192710 209228 220240 261535 308336 366149 385420 418456 440480 523070 616672 732298 770840 836912 880960 1046140 1233344 1464596 1541680 1673824 1830745 2092280 2929192 3083360 3347648 3661490 4184560 5858384 6166720 7322980 8369120 11716768 14645960 16738240 23433536 29291920 58583840 117167680