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2000390500 = 225323473701
BaseRepresentation
bin111011100111011…
…1000100101100100
312011102002100220001
41313032320211210
513044044444000
6530255151044
7100400016163
oct16716704544
95142070801
102000390500
11937193a99
12479b15484
1325b583024
1414d95b3da
15ba93d46a
hex773b8964

2000390500 has 96 divisors (see below), whose sum is σ = 4657056768. Its totient is φ = 748880000.

The previous prime is 2000390489. The next prime is 2000390543. The reversal of 2000390500 is 50930002.

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 31 ways as a sum of consecutive naturals, for example, 538650 + ... + 542350.

It is an arithmetic number, because the mean of its divisors is an integer number (48511008).

Almost surely, 22000390500 is an apocalyptic number.

2000390500 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 2000390500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328528384).

2000390500 is an abundant number, since it is smaller than the sum of its proper divisors (2656666268).

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

2000390500 is a wasteful number, since it uses less digits than its factorization.

2000390500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 2000390500 is about 44725.7252596311. The cubic root of 2000390500 is about 1260.0030444203.

The spelling of 2000390500 in words is "two billion, three hundred ninety thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 47 50 92 94 100 115 125 188 230 235 250 460 470 500 575 940 1081 1150 1175 2162 2300 2350 2875 3701 4324 4700 5405 5750 5875 7402 10810 11500 11750 14804 18505 21620 23500 27025 37010 54050 74020 85123 92525 108100 135125 170246 173947 185050 270250 340492 347894 370100 425615 462625 540500 695788 851230 869735 925250 1702460 1739470 1850500 2128075 3478940 4000781 4256150 4348675 8001562 8512300 8697350 10640375 16003124 17394700 20003905 21280750 21743375 40007810 42561500 43486750 80015620 86973500 100019525 200039050 400078100 500097625 1000195250 2000390500