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102159618 = 231119411987
BaseRepresentation
bin1100001011011…
…01010100000010
321010020020122120
412011231110002
5202123101433
614045345110
72350225311
oct605552402
9233206576
10102159618
1152737040
122a268196
131821b7a2
14d7d4278
158e7e7b3
hex616d502

102159618 has 64 divisors (see below), whose sum is σ = 240468480. Its totient is φ = 28598400.

The previous prime is 102159593. The next prime is 102159619. The reversal of 102159618 is 816951201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102159619) 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 31 ways as a sum of consecutive naturals, for example, 50421 + ... + 52407.

It is an arithmetic number, because the mean of its divisors is an integer number (3757320).

Almost surely, 2102159618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102159618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120234240).

102159618 is an abundant number, since it is smaller than the sum of its proper divisors (138308862).

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

102159618 is a wasteful number, since it uses less digits than its factorization.

102159618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063.

The product of its (nonzero) digits is 4320, while the sum is 33.

The square root of 102159618 is about 10107.4041177743. The cubic root of 102159618 is about 467.4764673066.

The spelling of 102159618 in words is "one hundred two million, one hundred fifty-nine thousand, six hundred eighteen".

Divisors: 1 2 3 6 11 19 22 33 38 41 57 66 82 114 123 209 246 418 451 627 779 902 1254 1353 1558 1987 2337 2706 3974 4674 5961 8569 11922 17138 21857 25707 37753 43714 51414 65571 75506 81467 113259 131142 162934 226518 244401 415283 488802 830566 896137 1245849 1547873 1792274 2491698 2688411 3095746 4643619 5376822 9287238 17026603 34053206 51079809 102159618