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20385960 = 2335723467
BaseRepresentation
bin100110111000…
…1000010101000
31102100201021120
41031301002220
520204322320
62004535240
7335164200
oct115610250
942321246
1020385960
1110564301
1269b1520
1342b9cca
1429c9400
151bca440
hex13710a8

20385960 has 96 divisors (see below), whose sum is σ = 71163360. Its totient is φ = 4658304.

The previous prime is 20385931. The next prime is 20385971. The reversal of 20385960 is 6958302.

It is a happy 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, 4147 + ... + 7613.

It is an arithmetic number, because the mean of its divisors is an integer number (741285).

Almost surely, 220385960 is an apocalyptic number.

20385960 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 20385960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35581680).

20385960 is an abundant number, since it is smaller than the sum of its proper divisors (50777400).

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

20385960 is a wasteful number, since it uses less digits than its factorization.

20385960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 20385960 is about 4515.0813946152. The cubic root of 20385960 is about 273.1767428809.

The spelling of 20385960 in words is "twenty million, three hundred eighty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 3467 5880 6934 10401 13868 17335 20802 24269 27736 34670 41604 48538 52005 69340 72807 83208 97076 104010 121345 138680 145614 169883 194152 208020 242690 291228 339766 364035 416040 485380 509649 582456 679532 728070 849415 970760 1019298 1359064 1456140 1698830 2038596 2548245 2912280 3397660 4077192 5096490 6795320 10192980 20385960