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2020324000 = 25531932617
BaseRepresentation
bin111100001101011…
…1011001010100000
312012210121002111211
41320122323022200
513114200332000
6532250315504
7101031320302
oct17032731240
95183532454
102020324000
11947469362
12484728b94
132627420b6
14152469972
15bc5797ba
hex786bb2a0

2020324000 has 96 divisors (see below), whose sum is σ = 4991562576. Its totient is φ = 803635200.

The previous prime is 2020323953. The next prime is 2020324043. The reversal of 2020324000 is 4230202.

It can be written as a sum of positive squares in 8 ways, for example, as 249260944 + 1771063056 = 15788^2 + 42084^2 .

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, 770692 + ... + 773308.

Almost surely, 22020324000 is an apocalyptic number.

2020324000 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 2020324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495781288).

2020324000 is an abundant number, since it is smaller than the sum of its proper divisors (2971238576).

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

2020324000 is a wasteful number, since it uses less digits than its factorization.

2020324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2020324000 is about 44948.0144166569. The cubic root of 2020324000 is about 1264.1744471617.

Adding to 2020324000 its reverse (4230202), we get a palindrome (2024554202).

The spelling of 2020324000 in words is "two billion, twenty million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 193 200 250 386 400 500 772 800 965 1000 1544 1930 2000 2617 3088 3860 4000 4825 5234 6176 7720 9650 10468 13085 15440 19300 20936 24125 26170 30880 38600 41872 48250 52340 65425 77200 83744 96500 104680 130850 154400 193000 209360 261700 327125 386000 418720 505081 523400 654250 772000 1010162 1046800 1308500 2020324 2093600 2525405 2617000 4040648 5050810 5234000 8081296 10101620 10468000 12627025 16162592 20203240 25254050 40406480 50508100 63135125 80812960 101016200 126270250 202032400 252540500 404064800 505081000 1010162000 2020324000