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20493564 = 2237313383
BaseRepresentation
bin100111000101…
…1010011111100
31102120011212220
41032023103330
520221243224
62011125340
7336123000
oct116132374
942504786
1020493564
1110628133
126a43850
134326c90
142a16700
151bec279
hex138b4fc

20493564 has 96 divisors (see below), whose sum is σ = 60211200. Its totient is φ = 5390784.

The previous prime is 20493553. The next prime is 20493581. The reversal of 20493564 is 46539402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53317 + ... + 53699.

It is an arithmetic number, because the mean of its divisors is an integer number (627200).

Almost surely, 220493564 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 20493564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30105600).

20493564 is an abundant number, since it is smaller than the sum of its proper divisors (39717636).

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

20493564 is a wasteful number, since it uses less digits than its factorization.

20493564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 20493564 is about 4526.9817759739. The cubic root of 20493564 is about 273.6565394763.

The spelling of 20493564 in words is "twenty million, four hundred ninety-three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 343 364 383 546 588 637 686 766 1029 1092 1149 1274 1372 1532 1911 2058 2298 2548 2681 3822 4116 4459 4596 4979 5362 7644 8043 8918 9958 10724 13377 14937 16086 17836 18767 19916 26754 29874 32172 34853 37534 53508 56301 59748 69706 75068 104559 112602 131369 139412 209118 225204 243971 262738 394107 418236 487942 525476 731913 788214 975884 1463826 1576428 1707797 2927652 3415594 5123391 6831188 10246782 20493564