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116382618 = 232113167283
BaseRepresentation
bin1101110111111…
…01101110011010
322002222211221100
412323331232122
5214243220433
615314252230
72612143632
oct673755632
9262884840
10116382618
115a770a90
1232b87076
131b15b571
14116576c2
15a33db13
hex6efdb9a

116382618 has 96 divisors (see below), whose sum is σ = 289216512. Its totient is φ = 33501600.

The previous prime is 116382611. The next prime is 116382653. The reversal of 116382618 is 816283611.

116382618 is a `hidden beast` number, since 1 + 1 + 6 + 38 + 2 + 618 = 666.

It is a Curzon number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (116382611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411105 + ... + 411387.

It is an arithmetic number, because the mean of its divisors is an integer number (3012672).

Almost surely, 2116382618 is an apocalyptic number.

116382618 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 116382618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144608256).

116382618 is an abundant number, since it is smaller than the sum of its proper divisors (172833894).

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

116382618 is a wasteful number, since it uses less digits than its factorization.

116382618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 397 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 116382618 is about 10788.0775859279. The cubic root of 116382618 is about 488.2355224537.

The spelling of 116382618 in words is "one hundred sixteen million, three hundred eighty-two thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 67 93 99 134 186 198 201 279 283 341 402 558 566 603 682 737 849 1023 1206 1474 1698 2046 2077 2211 2547 3069 3113 4154 4422 5094 6138 6226 6231 6633 8773 9339 12462 13266 17546 18678 18693 18961 22847 26319 28017 37386 37922 45694 52638 56034 56883 68541 78957 96503 113766 137082 157914 170649 193006 205623 208571 289509 341298 411246 417142 579018 587791 625713 868527 1175582 1251426 1737054 1763373 1877139 3526746 3754278 5290119 6465701 10580238 12931402 19397103 38794206 58191309 116382618