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117102258 = 23273131459
BaseRepresentation
bin1101111101011…
…01011010110010
322011100102002200
412332231122302
5214434233013
615341524030
72621232000
oct676553262
9264312080
10117102258
1160112729
1233273616
131b350ca0
14117a3a70
15a431e73
hex6fad6b2

117102258 has 96 divisors (see below), whose sum is σ = 318864000. Its totient is φ = 30862944.

The previous prime is 117102247. The next prime is 117102259. The reversal of 117102258 is 852201711.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (117102259) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 79533 + ... + 80991.

It is an arithmetic number, because the mean of its divisors is an integer number (3321500).

Almost surely, 2117102258 is an apocalyptic number.

117102258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117102258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159432000).

117102258 is an abundant number, since it is smaller than the sum of its proper divisors (201761742).

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

117102258 is a wasteful number, since it uses less digits than its factorization.

117102258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 117102258 is about 10821.3796717424. The cubic root of 117102258 is about 489.2397735127.

Adding to 117102258 its reverse (852201711), we get a palindrome (969303969).

The spelling of 117102258 in words is "one hundred seventeen million, one hundred two thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 343 441 546 637 686 819 882 1029 1274 1459 1638 1911 2058 2918 3087 3822 4377 4459 5733 6174 8754 8918 10213 11466 13131 13377 18967 20426 26262 26754 30639 37934 40131 56901 61278 71491 80262 91917 113802 132769 142982 170703 183834 214473 265538 341406 398307 428946 500437 643419 796614 929383 1000874 1194921 1286838 1501311 1858766 2389842 2788149 3002622 4503933 5576298 6505681 8364447 9007866 13011362 16728894 19517043 39034086 58551129 117102258