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20904660 = 22325747353
BaseRepresentation
bin100111110111…
…1101011010100
31110100001210200
41033233223110
520322422120
62024020500
7342454350
oct117575324
943301720
1020904660
1110888a87
127001730
13443c12a
142ac2460
151c7de90
hex13efad4

20904660 has 144 divisors (see below), whose sum is σ = 74221056. Its totient is φ = 4663296.

The previous prime is 20904649. The next prime is 20904673. The reversal of 20904660 is 6640902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59044 + ... + 59396.

It is an arithmetic number, because the mean of its divisors is an integer number (515424).

Almost surely, 220904660 is an apocalyptic number.

20904660 is a gapful number since it is divisible by the number (20) 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 20904660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37110528).

20904660 is an abundant number, since it is smaller than the sum of its proper divisors (53316396).

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

20904660 is a wasteful number, since it uses less digits than its factorization.

20904660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20904660 is about 4572.1614144735. The cubic root of 20904660 is about 275.4742670049.

The spelling of 20904660 in words is "twenty million, nine hundred four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 47 60 63 70 84 90 94 105 126 140 141 180 188 210 235 252 282 315 329 353 420 423 470 564 630 658 705 706 846 940 987 1059 1260 1316 1410 1412 1645 1692 1765 1974 2115 2118 2471 2820 2961 3177 3290 3530 3948 4230 4236 4935 4942 5295 5922 6354 6580 7060 7413 8460 9870 9884 10590 11844 12355 12708 14805 14826 15885 16591 19740 21180 22239 24710 29610 29652 31770 33182 37065 44478 49420 49773 59220 63540 66364 74130 82955 88956 99546 111195 116137 148260 149319 165910 199092 222390 232274 248865 298638 331820 348411 444780 464548 497730 580685 597276 696822 746595 995460 1045233 1161370 1393644 1493190 1742055 2090466 2322740 2986380 3484110 4180932 5226165 6968220 10452330 20904660