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2000018640 = 2435291132543
BaseRepresentation
bin111011100110101…
…1101110011010000
312011101101110210110
41313031131303100
513044001044030
6530243201320
7100363610064
oct16715356320
95141343713
102000018640
11936a5a674
12479976240
1325b4829a9
1414d8a1aa4
15ba8b81b0
hex7735dcd0

2000018640 has 160 divisors (see below), whose sum is σ = 6473157120. Its totient is φ = 510189568.

The previous prime is 2000018627. The next prime is 2000018689. The reversal of 2000018640 is 468100002.

It is a congruent number.

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, 785209 + ... + 787751.

It is an arithmetic number, because the mean of its divisors is an integer number (40457232).

Almost surely, 22000018640 is an apocalyptic number.

2000018640 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 2000018640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236578560).

2000018640 is an abundant number, since it is smaller than the sum of its proper divisors (4473138480).

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

2000018640 is a wasteful number, since it uses less digits than its factorization.

2000018640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2000018640 is about 44721.5679510457. The cubic root of 2000018640 is about 1259.9249640374.

Adding to 2000018640 its reverse (468100002), we get a palindrome (2468118642).

The spelling of 2000018640 in words is "two billion, eighteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 113 116 120 145 174 226 232 240 290 339 348 435 452 464 565 580 678 696 870 904 1130 1160 1356 1392 1695 1740 1808 2260 2320 2543 2712 3277 3390 3480 4520 5086 5424 6554 6780 6960 7629 9040 9831 10172 12715 13108 13560 15258 16385 19662 20344 25430 26216 27120 30516 32770 38145 39324 40688 49155 50860 52432 61032 65540 73747 76290 78648 98310 101720 122064 131080 147494 152580 157296 196620 203440 221241 262160 287359 294988 305160 368735 393240 442482 574718 589976 610320 737470 786480 862077 884964 1106205 1149436 1179952 1436795 1474940 1724154 1769928 2212410 2298872 2873590 2949880 3448308 3539856 4310385 4424820 4597744 5747180 5899760 6896616 8333411 8620770 8849640 11494360 13793232 16666822 17241540 17699280 22988720 25000233 33333644 34483080 41667055 50000466 66667288 68966160 83334110 100000932 125001165 133334576 166668220 200001864 250002330 333336440 400003728 500004660 666672880 1000009320 2000018640