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20268556 = 2273111779
BaseRepresentation
bin100110101010…
…0011000001100
31102010202020021
41031110120030
520142043211
62002231524
7334165000
oct115243014
942122207
1020268556
1110494080
1269555a4
134278739
142998700
151ba5771
hex135460c

20268556 has 96 divisors (see below), whose sum is σ = 48384000. Its totient is φ = 7338240.

The previous prime is 20268527. The next prime is 20268557. The reversal of 20268556 is 65586202.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20268557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256525 + ... + 256603.

It is an arithmetic number, because the mean of its divisors is an integer number (504000).

Almost surely, 220268556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20268556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192000).

20268556 is an abundant number, since it is smaller than the sum of its proper divisors (28115444).

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

20268556 is a wasteful number, since it uses less digits than its factorization.

20268556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 20268556 is about 4502.0613056688. The cubic root of 20268556 is about 272.6513190377.

The spelling of 20268556 in words is "twenty million, two hundred sixty-eight thousand, five hundred fifty-six".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 49 68 77 79 98 119 154 158 187 196 238 308 316 343 374 476 539 553 686 748 833 869 1078 1106 1309 1343 1372 1666 1738 2156 2212 2618 2686 3332 3476 3773 3871 5236 5372 5831 6083 7546 7742 9163 9401 11662 12166 14773 15092 15484 18326 18802 23324 24332 27097 29546 36652 37604 42581 54194 59092 64141 65807 85162 103411 108388 128282 131614 170324 206822 256564 263228 298067 413644 460649 596134 723877 921298 1192268 1447754 1842596 2895508 5067139 10134278 20268556