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20718768 = 2437223383
BaseRepresentation
bin100111100001…
…0010010110000
31102222121210210
41033002102300
520301000033
62020024120
7341051400
oct117022260
942877723
1020718768
1110771354
126b32040
1343a5635
142a74800
151c43d63
hex13c24b0

20718768 has 120 divisors (see below), whose sum is σ = 65138688. Its totient is φ = 5647488.

The previous prime is 20718751. The next prime is 20718781. The reversal of 20718768 is 86781702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53905 + ... + 54287.

Almost surely, 220718768 is an apocalyptic number.

20718768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20718768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32569344).

20718768 is an abundant number, since it is smaller than the sum of its proper divisors (44419920).

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

20718768 is a wasteful number, since it uses less digits than its factorization.

20718768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 20718768 is about 4551.7873412540. The cubic root of 20718768 is about 274.6552948235.

The spelling of 20718768 in words is "twenty million, seven hundred eighteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 138 147 161 168 184 196 276 294 322 336 368 383 392 483 552 588 644 766 784 966 1104 1127 1149 1176 1288 1532 1932 2254 2298 2352 2576 2681 3064 3381 3864 4508 4596 5362 6128 6762 7728 8043 8809 9016 9192 10724 13524 16086 17618 18032 18384 18767 21448 26427 27048 32172 35236 37534 42896 52854 54096 56301 61663 64344 70472 75068 105708 112602 123326 128688 140944 150136 184989 211416 225204 246652 300272 369978 422832 431641 450408 493304 739956 863282 900816 986608 1294923 1479912 1726564 2589846 2959824 3453128 5179692 6906256 10359384 20718768