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20268612 = 223271323269
BaseRepresentation
bin100110101010…
…0011001000100
31102010202022100
41031110121010
520142043422
62002232100
7334165110
oct115243104
942122270
1020268612
1110494121
126955630
134278780
142998740
151ba57ac
hex1354644

20268612 has 144 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 5094144.

The previous prime is 20268601. The next prime is 20268613. The reversal of 20268612 is 21686202.

20268612 is a `hidden beast` number, since 20 + 26 + 8 + 612 = 666.

It is not an unprimeable number, because it can be changed into a prime (20268613) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75214 + ... + 75482.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 220268612 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 20268612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

20268612 is an abundant number, since it is smaller than the sum of its proper divisors (45775548).

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

20268612 is a wasteful number, since it uses less digits than its factorization.

20268612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20268612 is about 4502.0675250378. The cubic root of 20268612 is about 272.6515701402.

The spelling of 20268612 in words is "twenty million, two hundred sixty-eight thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 23 26 28 36 39 42 46 52 63 69 78 84 91 92 117 126 138 156 161 182 207 234 252 269 273 276 299 322 364 414 468 483 538 546 598 644 807 819 828 897 966 1076 1092 1196 1449 1614 1638 1794 1883 1932 2093 2421 2691 2898 3228 3276 3497 3588 3766 4186 4842 5382 5649 5796 6187 6279 6994 7532 8372 9684 10491 10764 11298 12374 12558 13988 16947 18561 18837 20982 22596 24479 24748 25116 31473 33894 37122 37674 41964 43309 48958 55683 62946 67788 73437 74244 75348 80431 86618 97916 111366 125892 129927 146874 160862 173236 220311 222732 241293 259854 293748 321724 389781 440622 482586 519708 563017 723879 779562 881244 965172 1126034 1447758 1559124 1689051 2252068 2895516 3378102 5067153 6756204 10134306 20268612