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20293560 = 2332578053
BaseRepresentation
bin100110101101…
…0011110111000
31102012000112100
41031122132320
520143343220
62002543400
7334330620
oct115323670
942160470
1020293560
1110500941
126967b60
134286c31
1429a3880
151bacd90
hex135a7b8

20293560 has 96 divisors (see below), whose sum is σ = 75385440. Its totient is φ = 4637952.

The previous prime is 20293547. The next prime is 20293579. The reversal of 20293560 is 6539202.

20293560 = T64 + T65 + ... + T495.

It is a congruent number.

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, 1507 + ... + 6546.

It is an arithmetic number, because the mean of its divisors is an integer number (785265).

Almost surely, 220293560 is an apocalyptic number.

20293560 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 20293560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37692720).

20293560 is an abundant number, since it is smaller than the sum of its proper divisors (55091880).

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

20293560 is a wasteful number, since it uses less digits than its factorization.

20293560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8077 (or 8070 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 20293560 is about 4504.8373999513. The cubic root of 20293560 is about 272.7633903682.

The spelling of 20293560 in words is "twenty million, two hundred ninety-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 8053 16106 24159 32212 40265 48318 56371 64424 72477 80530 96636 112742 120795 144954 161060 169113 193272 225484 241590 281855 289908 322120 338226 362385 450968 483180 507339 563710 579816 676452 724770 845565 966360 1014678 1127420 1352904 1449540 1691130 2029356 2254840 2536695 2899080 3382260 4058712 5073390 6764520 10146780 20293560