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117726960 = 24351397389
BaseRepresentation
bin1110000010001…
…01111011110000
322012112011000210
413001011323300
5220114230320
615403144120
72626443201
oct701057360
9265464023
10117726960
11604aa00a
1233515040
131b50c430
14118c75a8
15a5070e0
hex7045ef0

117726960 has 160 divisors (see below), whose sum is σ = 398099520. Its totient is φ = 28606464.

The previous prime is 117726943. The next prime is 117726971. The reversal of 117726960 is 69627711.

It is a super-2 number, since 2×1177269602 = 27719274221683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302446 + ... + 302834.

It is an arithmetic number, because the mean of its divisors is an integer number (2488122).

Almost surely, 2117726960 is an apocalyptic number.

117726960 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 117726960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199049760).

117726960 is an abundant number, since it is smaller than the sum of its proper divisors (280372560).

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

117726960 is a wasteful number, since it uses less digits than its factorization.

117726960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 117726960 is about 10850.2055280073. The cubic root of 117726960 is about 490.1082087829.

The spelling of 117726960 in words is "one hundred seventeen million, seven hundred twenty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 97 104 120 130 156 194 195 208 240 260 291 312 388 389 390 485 520 582 624 776 778 780 970 1040 1164 1167 1261 1455 1552 1556 1560 1940 1945 2328 2334 2522 2910 3112 3120 3783 3880 3890 4656 4668 5044 5057 5820 5835 6224 6305 7566 7760 7780 9336 10088 10114 11640 11670 12610 15132 15171 15560 18672 18915 20176 20228 23280 23340 25220 25285 30264 30342 31120 37733 37830 40456 46680 50440 50570 60528 60684 75466 75660 75855 80912 93360 100880 101140 113199 121368 150932 151320 151710 188665 202280 226398 242736 301864 302640 303420 377330 404560 452796 490529 565995 603728 606840 754660 905592 981058 1131990 1213680 1471587 1509320 1811184 1962116 2263980 2452645 2943174 3018640 3924232 4527960 4905290 5886348 7357935 7848464 9055920 9810580 11772696 14715870 19621160 23545392 29431740 39242320 58863480 117726960