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2000030320 = 245238831231
BaseRepresentation
bin111011100110110…
…0000101001110000
312011101102001211001
41313031200221300
513044001432240
6530243331344
7100363656121
oct16715405160
95141361731
102000030320
11936a68422
12479980b54
1325b4880c2
1414d8a6048
15ba8bb89a
hex77360a70

2000030320 has 80 divisors (see below), whose sum is σ = 4861688832. Its totient is φ = 763741440.

The previous prime is 2000030309. The next prime is 2000030341. The reversal of 2000030320 is 230300002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2000030297 and 2000030306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1624105 + ... + 1625335.

Almost surely, 22000030320 is an apocalyptic number.

2000030320 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 2000030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430844416).

2000030320 is an abundant number, since it is smaller than the sum of its proper divisors (2861658512).

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

2000030320 is a wasteful number, since it uses less digits than its factorization.

2000030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 2000030320 is about 44721.6985366164. The cubic root of 2000030320 is about 1259.9274166637.

Adding to 2000030320 its reverse (230300002), we get a palindrome (2230330322).

The spelling of 2000030320 in words is "two billion, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 883 920 1231 1766 1840 2462 3532 4415 4924 6155 7064 8830 9848 12310 14128 17660 19696 20309 24620 28313 35320 40618 49240 56626 70640 81236 98480 101545 113252 141565 162472 203090 226504 283130 324944 406180 453008 566260 812360 1086973 1132520 1624720 2173946 2265040 4347892 5434865 8695784 10869730 17391568 21739460 25000379 43478920 50000758 86957840 100001516 125001895 200003032 250003790 400006064 500007580 1000015160 2000030320