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18165132 = 22323141397
BaseRepresentation
bin100010101001…
…0110110001100
31021011212212200
41011102312030
514122241012
61445201500
7310254366
oct105226614
937155780
1018165132
11a287807
126100290
1339c01cb
1425abd36
1518dc3dc
hex1152d8c

18165132 has 72 divisors (see below), whose sum is σ = 48676992. Its totient is φ = 5702400.

The previous prime is 18165127. The next prime is 18165139. The reversal of 18165132 is 23156181.

18165132 is a `hidden beast` number, since 1 + 8 + 1 + 651 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18165096 and 18165105.

It is not an unprimeable number, because it can be changed into a prime (18165139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45558 + ... + 45954.

Almost surely, 218165132 is an apocalyptic number.

18165132 is a gapful number since it is divisible by the number (12) 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 18165132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24338496).

18165132 is an abundant number, since it is smaller than the sum of its proper divisors (30511860).

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

18165132 is a wasteful number, since it uses less digits than its factorization.

18165132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 474 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 18165132 is about 4262.0572497328. The cubic root of 18165132 is about 262.8731238033.

The spelling of 18165132 in words is "eighteen million, one hundred sixty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 41 62 82 93 123 124 164 186 246 279 369 372 397 492 558 738 794 1116 1191 1271 1476 1588 2382 2542 3573 3813 4764 5084 7146 7626 11439 12307 14292 15252 16277 22878 24614 32554 36921 45756 48831 49228 65108 73842 97662 110763 146493 147684 195324 221526 292986 443052 504587 585972 1009174 1513761 2018348 3027522 4541283 6055044 9082566 18165132