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20993640 = 23351741251
BaseRepresentation
bin101000000010…
…1011001101000
31110111120212020
41100011121220
520333244030
62025544440
7343304643
oct120053150
943446766
1020993640
1110939918
127045120
134470795
142b06a5a
151c9a510
hex1405668

20993640 has 128 divisors (see below), whose sum is σ = 68584320. Its totient is φ = 5120000.

The previous prime is 20993633. The next prime is 20993663. The reversal of 20993640 is 4639902.

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, 83515 + ... + 83765.

It is an arithmetic number, because the mean of its divisors is an integer number (535815).

Almost surely, 220993640 is an apocalyptic number.

20993640 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 20993640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34292160).

20993640 is an abundant number, since it is smaller than the sum of its proper divisors (47590680).

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

20993640 is a wasteful number, since it uses less digits than its factorization.

20993640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 20993640 is about 4581.8817095163. The cubic root of 20993640 is about 275.8645628295.

The spelling of 20993640 in words is "twenty million, nine hundred ninety-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 41 51 60 68 82 85 102 120 123 136 164 170 204 205 246 251 255 328 340 408 410 492 502 510 615 680 697 753 820 984 1004 1020 1230 1255 1394 1506 1640 2008 2040 2091 2460 2510 2788 3012 3485 3765 4182 4267 4920 5020 5576 6024 6970 7530 8364 8534 10040 10291 10455 12801 13940 15060 16728 17068 20582 20910 21335 25602 27880 30120 30873 34136 41164 41820 42670 51204 51455 61746 64005 82328 83640 85340 102408 102910 123492 128010 154365 170680 174947 205820 246984 256020 308730 349894 411640 512040 524841 617460 699788 874735 1049682 1234920 1399576 1749470 2099364 2624205 3498940 4198728 5248410 6997880 10496820 20993640