Search a number
-
+
20927959920 = 2432574152373
BaseRepresentation
bin10011011111011001…
…110101001101110000
32000000111122111221200
4103133121311031300
5320330024204140
613340354451200
71340420503260
oct233731651560
960014574850
1020927959920
11896a31904a
124080893b00
131c86a1084a
14102763d7a0
1582746c030
hex4df675370

20927959920 has 120 divisors (see below), whose sum is σ = 80323522656. Its totient is φ = 4783532544.

The previous prime is 20927959907. The next prime is 20927959933. The reversal of 20927959920 is 2995972902.

20927959920 is a `hidden beast` number, since 2 + 0 + 9 + 27 + 9 + 599 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (20927959907) and next prime (20927959933).

It is a tau number, because it is divible by the number of its divisors (120).

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, 2071147 + ... + 2081226.

Almost surely, 220927959920 is an apocalyptic number.

20927959920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20927959920 is an abundant number, since it is smaller than the sum of its proper divisors (59395562736).

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

20927959920 is a wasteful number, since it uses less digits than its factorization.

20927959920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152399 (or 4152390 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 20927959920 in words is "twenty billion, nine hundred twenty-seven million, nine hundred fifty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 4152373 8304746 12457119 16609492 20761865 24914238 29066611 33218984 37371357 41523730 49828476 58133222 62285595 66437968 74742714 83047460 87199833 99656952 116266444 124571190 145333055 149485428 166094920 174399666 186856785 199313904 232532888 249142380 261599499 290666110 298970856 332189840 348799332 373713570 435999165 465065776 498284760 523198998 581332220 597941712 697598664 747427140 871998330 996569520 1046397996 1162664440 1307997495 1395197328 1494854280 1743996660 2092795992 2325328880 2615994990 2989708560 3487993320 4185591984 5231989980 6975986640 10463979960 20927959920