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20989920 = 253576247
BaseRepresentation
bin101000000010…
…0011111100000
31110111101202110
41100010133200
520333134140
62025515320
7343261050
oct120043740
943441673
1020989920
1110937046
127042b40
13446bb93
142b05560
151c99380
hex14047e0

20989920 has 96 divisors (see below), whose sum is σ = 75575808. Its totient is φ = 4796928.

The previous prime is 20989919. The next prime is 20989931. The reversal of 20989920 is 2998902.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237 + ... + 6483.

It is an arithmetic number, because the mean of its divisors is an integer number (787248).

Almost surely, 220989920 is an apocalyptic number.

20989920 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 20989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37787904).

20989920 is an abundant number, since it is smaller than the sum of its proper divisors (54585888).

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

20989920 is a wasteful number, since it uses less digits than its factorization.

20989920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 20989920 is about 4581.4757447792. The cubic root of 20989920 is about 275.8482677866.

The spelling of 20989920 in words is "twenty million, nine hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 6247 12494 18741 24988 31235 37482 43729 49976 62470 74964 87458 93705 99952 124940 131187 149928 174916 187410 199904 218645 249880 262374 299856 349832 374820 437290 499760 524748 599712 655935 699664 749640 874580 999520 1049496 1311870 1399328 1499280 1749160 2098992 2623740 2998560 3498320 4197984 5247480 6996640 10494960 20989920