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2020204340 = 2257211193971
BaseRepresentation
bin111100001101001…
…1101111100110100
312012210101000100222
41320122131330310
513114133014330
6532243553512
7101030311400
oct17032357464
95183330328
102020204340
11947397470
1248468b898
132626cc7ab
14152438100
15bc5540e5
hex7869df34

2020204340 has 144 divisors (see below), whose sum is σ = 5417181504. Its totient is φ = 625766400.

The previous prime is 2020204331. The next prime is 2020204397. The reversal of 2020204340 is 434020202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2080055 + ... + 2081025.

It is an arithmetic number, because the mean of its divisors is an integer number (37619316).

Almost surely, 22020204340 is an apocalyptic number.

2020204340 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 2020204340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708590752).

2020204340 is an abundant number, since it is smaller than the sum of its proper divisors (3396977164).

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

2020204340 is a wasteful number, since it uses less digits than its factorization.

2020204340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2020204340 is about 44946.6833036655. The cubic root of 2020204340 is about 1264.1494884420.

Adding to 2020204340 its reverse (434020202), we get a palindrome (2454224542).

The spelling of 2020204340 in words is "two billion, twenty million, two hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 193 196 220 245 308 385 386 490 539 770 772 965 971 980 1078 1351 1540 1930 1942 2123 2156 2695 2702 3860 3884 4246 4855 5390 5404 6755 6797 8492 9457 9710 10615 10681 10780 13510 13594 14861 18914 19420 21230 21362 27020 27188 29722 33985 37828 42460 42724 47285 47579 53405 59444 67970 74305 74767 94570 95158 104027 106810 135940 148610 149534 187403 189140 190316 208054 213620 237895 297220 299068 373835 374806 416108 475790 520135 523369 747670 749612 937015 951580 1040270 1046738 1311821 1495340 1874030 2061433 2080540 2093476 2616845 2623642 3748060 4122866 5233690 5247284 6559105 8245732 9182747 10307165 10467380 13118210 14430031 18365494 20614330 26236420 28860062 36730988 41228660 45913735 57720124 72150155 91827470 101010217 144300310 183654940 202020434 288600620 404040868 505051085 1010102170 2020204340