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20268288 = 283219463
BaseRepresentation
bin100110101010…
…0010100000000
31102010201212100
41031110110000
520142041123
62002230400
7334164135
oct115242400
942121770
1020268288
1110493957
126955400
134278591
14299858c
151ba5643
hex1354500

20268288 has 108 divisors (see below), whose sum is σ = 61647040. Its totient is φ = 6386688.

The previous prime is 20268271. The next prime is 20268293. The reversal of 20268288 is 88286202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43545 + ... + 44007.

Almost surely, 220268288 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 20268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30823520).

20268288 is an abundant number, since it is smaller than the sum of its proper divisors (41378752).

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

20268288 is a wasteful number, since it uses less digits than its factorization.

20268288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 20268288 is about 4502.0315414266. The cubic root of 20268288 is about 272.6501173261.

The spelling of 20268288 in words is "twenty million, two hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 463 576 608 684 768 912 926 1152 1216 1368 1389 1824 1852 2304 2432 2736 2778 3648 3704 4167 4864 5472 5556 7296 7408 8334 8797 10944 11112 14592 14816 16668 17594 21888 22224 26391 29632 33336 35188 43776 44448 52782 59264 66672 70376 79173 88896 105564 118528 133344 140752 158346 177792 211128 266688 281504 316692 355584 422256 533376 563008 633384 844512 1066752 1126016 1266768 1689024 2252032 2533536 3378048 5067072 6756096 10134144 20268288