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2000020320 = 253252635281
BaseRepresentation
bin111011100110101…
…1110001101100000
312011101101120002200
41313031132031200
513044001122240
6530243213200
7100363615014
oct16715361540
95141346080
102000020320
11936a60961
12479977200
1325b48369c
1414d8a2544
15ba8b8930
hex7735e360

2000020320 has 144 divisors (see below), whose sum is σ = 6852317472. Its totient is φ = 531210240.

The previous prime is 2000020279. The next prime is 2000020339. The reversal of 2000020320 is 230200002.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376080 + ... + 381360.

It is an arithmetic number, because the mean of its divisors is an integer number (47585538).

Almost surely, 22000020320 is an apocalyptic number.

2000020320 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 2000020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426158736).

2000020320 is an abundant number, since it is smaller than the sum of its proper divisors (4852297152).

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

2000020320 is a wasteful number, since it uses less digits than its factorization.

2000020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5565 (or 5554 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2000020320 is about 44721.5867339253. The cubic root of 2000020320 is about 1259.9253168130.

Adding to 2000020320 its reverse (230200002), we get a palindrome (2230220322).

The spelling of 2000020320 in words is "two billion, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 263 288 360 480 526 720 789 1052 1315 1440 1578 2104 2367 2630 3156 3945 4208 4734 5260 5281 6312 7890 8416 9468 10520 10562 11835 12624 15780 15843 18936 21040 21124 23670 25248 26405 31560 31686 37872 42080 42248 47340 47529 52810 63120 63372 75744 79215 84496 94680 95058 105620 126240 126744 158430 168992 189360 190116 211240 237645 253488 316860 378720 380232 422480 475290 506976 633720 760464 844960 950580 1267440 1388903 1520928 1901160 2534880 2777806 3802320 4166709 5555612 6944515 7604640 8333418 11111224 12500127 13889030 16666836 20833545 22222448 25000254 27778060 33333672 41667090 44444896 50000508 55556120 62500635 66667344 83334180 100001016 111112240 125001270 133334688 166668360 200002032 222224480 250002540 333336720 400004064 500005080 666673440 1000010160 2000020320