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116117166 = 23112414783
BaseRepresentation
bin1101110101111…
…00111010101110
322002111100210210
412322330322232
5214211222131
615304443250
72606660004
oct672747256
9262440723
10116117166
115a5aa600
1232a79526
131b0977a9
14115c8a74
15a2da146
hex6ebceae

116117166 has 96 divisors (see below), whose sum is σ = 270273024. Its totient is φ = 33193600.

The previous prime is 116117147. The next prime is 116117171. The reversal of 116117166 is 661711611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1398961 + ... + 1399043.

It is an arithmetic number, because the mean of its divisors is an integer number (2815344).

Almost surely, 2116117166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116117166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135136512).

116117166 is an abundant number, since it is smaller than the sum of its proper divisors (154155858).

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

116117166 is a wasteful number, since it uses less digits than its factorization.

116117166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

The product of its digits is 1512, while the sum is 30.

The square root of 116117166 is about 10775.7675364681. The cubic root of 116117166 is about 487.8640415616.

Adding to 116117166 its reverse (661711611), we get a palindrome (777828777).

The spelling of 116117166 in words is "one hundred sixteen million, one hundred seventeen thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 41 47 66 82 83 94 121 123 141 166 242 246 249 282 363 451 498 517 726 902 913 1034 1353 1551 1826 1927 2706 2739 3102 3403 3854 3901 4961 5478 5687 5781 6806 7802 9922 10043 10209 11374 11562 11703 14883 17061 20086 20418 21197 23406 29766 30129 34122 37433 42394 42911 60258 63591 74866 85822 112299 127182 128733 159941 224598 233167 257466 319882 411763 466334 472021 479823 699501 823526 944042 959646 1235289 1399002 1416063 1759351 2470578 2832126 3518702 5278053 10556106 19352861 38705722 58058583 116117166