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20897568 = 253319267
BaseRepresentation
bin100111110110…
…1111100100000
31110022201002000
41033231330200
520322210233
62023524000
7342424566
oct117557440
943281060
1020897568
111088371a
126bb9600
134438b33
142abda36
151c7bd13
hex13edf20

20897568 has 144 divisors (see below), whose sum is σ = 65288160. Its totient is φ = 6500736.

The previous prime is 20897561. The next prime is 20897579. The reversal of 20897568 is 86579802.

20897568 is a `hidden beast` number, since 2 + 0 + 89 + 7 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (20897561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311871 + ... + 311937.

It is an arithmetic number, because the mean of its divisors is an integer number (453390).

Almost surely, 220897568 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 20897568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32644080).

20897568 is an abundant number, since it is smaller than the sum of its proper divisors (44390592).

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

20897568 is a wasteful number, since it uses less digits than its factorization.

20897568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 20897568 is about 4571.3857855141. The cubic root of 20897568 is about 275.4431115198.

The spelling of 20897568 in words is "twenty million, eight hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 67 72 76 96 108 114 134 144 152 171 201 216 228 268 288 304 342 361 402 432 456 513 536 603 608 684 722 804 864 912 1026 1072 1083 1206 1273 1368 1444 1608 1809 1824 2052 2144 2166 2412 2546 2736 2888 3216 3249 3618 3819 4104 4332 4824 5092 5472 5776 6432 6498 7236 7638 8208 8664 9648 9747 10184 11457 11552 12996 14472 15276 16416 17328 19296 19494 20368 22914 24187 25992 28944 30552 34371 34656 38988 40736 45828 48374 51984 57888 61104 68742 72561 77976 91656 96748 103968 122208 137484 145122 155952 183312 193496 217683 274968 290244 311904 366624 386992 435366 549936 580488 653049 773984 870732 1099872 1160976 1306098 1741464 2321952 2612196 3482928 5224392 6965856 10448784 20897568