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117185964 = 223717137599
BaseRepresentation
bin1101111110000…
…01110110101100
322011111122220220
412333001312230
5214444422324
615343411340
72622031020
oct677016654
9264448826
10117185964
116016a605
12332b3b50
131b38010c
14117c6380
15a44bb79
hex6fc1dac

117185964 has 96 divisors (see below), whose sum is σ = 333849600. Its totient is φ = 31229952.

The previous prime is 117185963. The next prime is 117185969. The reversal of 117185964 is 469581711.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (117185963) 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, 195337 + ... + 195935.

It is an arithmetic number, because the mean of its divisors is an integer number (3477600).

Almost surely, 2117185964 is an apocalyptic number.

117185964 is a gapful number since it is divisible by the number (14) 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 117185964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166924800).

117185964 is an abundant number, since it is smaller than the sum of its proper divisors (216663636).

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

117185964 is a wasteful number, since it uses less digits than its factorization.

117185964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 765 counting only the distinct ones).

The product of its digits is 60480, while the sum is 42.

The square root of 117185964 is about 10825.2466022719. The cubic root of 117185964 is about 489.3563170971.

The spelling of 117185964 in words is "one hundred seventeen million, one hundred eighty-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 137 204 238 274 357 411 476 548 599 714 822 959 1198 1428 1644 1797 1918 2329 2396 2877 3594 3836 4193 4658 5754 6987 7188 8386 9316 10183 11508 12579 13974 16303 16772 20366 25158 27948 30549 32606 40732 48909 50316 61098 65212 71281 82063 97818 122196 142562 164126 195636 213843 246189 285124 328252 427686 492378 574441 855372 984756 1148882 1395071 1723323 2297764 2790142 3446646 4185213 5580284 6893292 8370426 9765497 16740852 19530994 29296491 39061988 58592982 117185964