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20286168 = 2337177103
BaseRepresentation
bin100110101100…
…0101011011000
31102011122101120
41031120223120
520143124133
62002445240
7334300230
oct115305330
942148346
1020286168
11104a6331
126963820
134283766
1429a0cc0
151baaab3
hex1358ad8

20286168 has 64 divisors (see below), whose sum is σ = 61378560. Its totient is φ = 5454336.

The previous prime is 20286157. The next prime is 20286169. The reversal of 20286168 is 86168202.

It is a super-2 number, since 2×202861682 = 823057224248448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20286169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696 + ... + 6407.

It is an arithmetic number, because the mean of its divisors is an integer number (959040).

Almost surely, 220286168 is an apocalyptic number.

20286168 is a gapful number since it is divisible by the number (28) 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 20286168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30689280).

20286168 is an abundant number, since it is smaller than the sum of its proper divisors (41092392).

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

20286168 is a wasteful number, since it uses less digits than its factorization.

20286168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7136 (or 7132 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 20286168 is about 4504.0168738583. The cubic root of 20286168 is about 272.7302680075.

The spelling of 20286168 in words is "twenty million, two hundred eighty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 7103 14206 21309 28412 42618 49721 56824 85236 99442 120751 149163 170472 198884 241502 298326 362253 397768 483004 596652 724506 845257 966008 1193304 1449012 1690514 2535771 2898024 3381028 5071542 6762056 10143084 20286168