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117563880 = 23357173809
BaseRepresentation
bin1110000000111…
…10000111101000
322012012212022210
413000132013220
5220044021010
615355445120
72625163560
oct700360750
9265185283
10117563880
11603a8535
12334567a0
131b483135
1411883da0
15a4c3b20
hex701e1e8

117563880 has 128 divisors (see below), whose sum is σ = 405907200. Its totient is φ = 26683392.

The previous prime is 117563869. The next prime is 117563881. The reversal of 117563880 is 88365711.

It is not an unprimeable number, because it can be changed into a prime (117563881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144916 + ... + 145724.

It is an arithmetic number, because the mean of its divisors is an integer number (3171150).

Almost surely, 2117563880 is an apocalyptic number.

117563880 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 117563880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202953600).

117563880 is an abundant number, since it is smaller than the sum of its proper divisors (288343320).

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

117563880 is a wasteful number, since it uses less digits than its factorization.

117563880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 117563880 is about 10842.6878586446. The cubic root of 117563880 is about 489.8817985054.

The spelling of 117563880 in words is "one hundred seventeen million, five hundred sixty-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 173 210 280 346 420 519 692 809 840 865 1038 1211 1384 1618 1730 2076 2422 2427 2595 3236 3460 3633 4045 4152 4844 4854 5190 5663 6055 6472 6920 7266 8090 9688 9708 10380 11326 12110 12135 14532 16180 16989 18165 19416 20760 22652 24220 24270 28315 29064 32360 33978 36330 45304 48440 48540 56630 67956 72660 84945 97080 113260 135912 139957 145320 169890 226520 279914 339780 419871 559828 679560 699785 839742 979699 1119656 1399570 1679484 1959398 2099355 2799140 2939097 3358968 3918796 4198710 4898495 5598280 5878194 7837592 8397420 9796990 11756388 14695485 16794840 19593980 23512776 29390970 39187960 58781940 117563880