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20330568 = 2333611543
BaseRepresentation
bin100110110001…
…1100001001000
31102020220022000
41031203201020
520201034233
62003431000
7334543536
oct115434110
942226260
1020330568
1110526725
126985460
13429aa2b
1429b3156
151bb8d13
hex1363848

20330568 has 64 divisors (see below), whose sum is σ = 57436800. Its totient is φ = 6661440.

The previous prime is 20330567. The next prime is 20330581. The reversal of 20330568 is 86503302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20330567) 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, 12405 + ... + 13947.

It is an arithmetic number, because the mean of its divisors is an integer number (897450).

Almost surely, 220330568 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 20330568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28718400).

20330568 is an abundant number, since it is smaller than the sum of its proper divisors (37106232).

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

20330568 is a wasteful number, since it uses less digits than its factorization.

20330568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 20330568 is about 4508.9431134136. The cubic root of 20330568 is about 272.9290964277.

The spelling of 20330568 in words is "twenty million, three hundred thirty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1543 1647 2196 3086 3294 4392 4629 6172 6588 9258 12344 13176 13887 18516 27774 37032 41661 55548 83322 94123 111096 166644 188246 282369 333288 376492 564738 752984 847107 1129476 1694214 2258952 2541321 3388428 5082642 6776856 10165284 20330568