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117235168 = 25192961109
BaseRepresentation
bin1101111110011…
…01110111100000
322011121011102021
412333031313200
5220003011133
615344431224
72622324331
oct677156740
9264534367
10117235168
11601a3576
1233318514
131b39962b
14117da288
15a45b52d
hex6fcdde0

117235168 has 96 divisors (see below), whose sum is σ = 257796000. Its totient is φ = 52254720.

The previous prime is 117235141. The next prime is 117235177. The reversal of 117235168 is 861532711.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1075498 + ... + 1075606.

It is an arithmetic number, because the mean of its divisors is an integer number (2685375).

Almost surely, 2117235168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117235168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128898000).

117235168 is an abundant number, since it is smaller than the sum of its proper divisors (140560832).

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

117235168 is a wasteful number, since it uses less digits than its factorization.

117235168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its digits is 10080, while the sum is 34.

The square root of 117235168 is about 10827.5190140678. The cubic root of 117235168 is about 489.4247977643.

Adding to 117235168 its reverse (861532711), we get a palindrome (978767879).

The spelling of 117235168 in words is "one hundred seventeen million, two hundred thirty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 19 29 32 38 58 61 76 109 116 122 152 218 232 244 304 436 464 488 551 608 872 928 976 1102 1159 1744 1769 1952 2071 2204 2318 3161 3488 3538 4142 4408 4636 6322 6649 7076 8284 8816 9272 12644 13298 14152 16568 17632 18544 25288 26596 28304 33136 33611 37088 50576 53192 56608 60059 66272 67222 101152 106384 120118 126331 134444 192821 212768 240236 252662 268888 385642 480472 505324 537776 771284 960944 1010648 1075552 1542568 1921888 2021296 3085136 3663599 4042592 6170272 7327198 14654396 29308792 58617584 117235168