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20592039240 = 2333523979777
BaseRepresentation
bin10011001011011000…
…011001010101001000
31222011002112222102000
4103023120121111020
5314133030223430
613243154511000
71326201305553
oct231330312510
958132488360
1020592039240
11880773a953
123ba8295460
131c32246c06
14dd4b9969a
15807c14e60
hex4cb619548

20592039240 has 128 divisors (see below), whose sum is σ = 68928192000. Its totient is φ = 5468166144.

The previous prime is 20592039229. The next prime is 20592039287. The reversal of 20592039240 is 4293029502.

20592039240 is a `hidden beast` number, since 20 + 592 + 0 + 3 + 9 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20592039195 and 20592039204.

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, 218232 + ... + 298008.

It is an arithmetic number, because the mean of its divisors is an integer number (538501500).

Almost surely, 220592039240 is an apocalyptic number.

20592039240 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 20592039240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34464096000).

20592039240 is an abundant number, since it is smaller than the sum of its proper divisors (48336152760).

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

20592039240 is a wasteful number, since it uses less digits than its factorization.

20592039240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80036 (or 80026 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 20592039240 in words is "twenty billion, five hundred ninety-two million, thirty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 239 270 360 478 540 717 956 1080 1195 1434 1912 2151 2390 2868 3585 4302 4780 5736 6453 7170 8604 9560 10755 12906 14340 17208 21510 25812 28680 32265 43020 51624 64530 79777 86040 129060 159554 239331 258120 319108 398885 478662 638216 717993 797770 957324 1196655 1435986 1595540 1914648 2153979 2393310 2871972 3191080 3589965 4307958 4786620 5743944 7179930 8615916 9573240 10769895 14359860 17231832 19066703 21539790 28719720 38133406 43079580 57200109 76266812 86159160 95333515 114400218 152533624 171600327 190667030 228800436 286000545 343200654 381334060 457600872 514800981 572001090 686401308 762668120 858001635 1029601962 1144002180 1372802616 1716003270 2059203924 2288004360 2574004905 3432006540 4118407848 5148009810 6864013080 10296019620 20592039240