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20288940 = 22357267103
BaseRepresentation
bin100110101100…
…1010110101100
31102011210012020
41031121112230
520143221230
62002510140
7334311300
oct115312654
942153166
1020288940
11104a8421
126965350
134284ab9
1429a1d00
151bab810
hex13595ac

20288940 has 144 divisors (see below), whose sum is σ = 67721472. Its totient is φ = 4523904.

The previous prime is 20288929. The next prime is 20288969. The reversal of 20288940 is 4988202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196929 + ... + 197031.

It is an arithmetic number, because the mean of its divisors is an integer number (470288).

Almost surely, 220288940 is an apocalyptic number.

20288940 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 20288940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33860736).

20288940 is an abundant number, since it is smaller than the sum of its proper divisors (47432532).

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

20288940 is a wasteful number, since it uses less digits than its factorization.

20288940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 20288940 is about 4504.3245886592. The cubic root of 20288940 is about 272.7426898355.

The spelling of 20288940 in words is "twenty million, two hundred eighty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 67 70 84 98 103 105 134 140 147 196 201 206 210 245 268 294 309 335 402 412 420 469 490 515 588 618 670 721 735 804 938 980 1005 1030 1236 1340 1407 1442 1470 1545 1876 2010 2060 2163 2345 2814 2884 2940 3090 3283 3605 4020 4326 4690 5047 5628 6180 6566 6901 7035 7210 8652 9380 9849 10094 10815 13132 13802 14070 14420 15141 16415 19698 20188 20703 21630 25235 27604 28140 30282 32830 34505 39396 41406 43260 48307 49245 50470 60564 65660 69010 75705 82812 96614 98490 100940 103515 138020 144921 151410 193228 196980 207030 241535 289842 302820 338149 414060 483070 579684 676298 724605 966140 1014447 1352596 1449210 1690745 2028894 2898420 3381490 4057788 5072235 6762980 10144470 20288940