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2020682304 = 263218732
BaseRepresentation
bin111100001110001…
…0010101001000000
312012211021022000100
41320130102221000
513114243313204
6532302122400
7101034342024
oct17034225100
95184238010
102020682304
11947693583
12484880400
13262839204
14152520384
15bc5eaa39
hex78712a40

2020682304 has 63 divisors (see below), whose sum is σ = 5795014953. Its totient is φ = 673201152.

The previous prime is 2020682299. The next prime is 2020682311. The reversal of 2020682304 is 4032860202.

The square root of 2020682304 is 44952.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 53582400 + 1967099904 = 7320^2 + 44352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1077912 + ... + 1079784.

Almost surely, 22020682304 is an apocalyptic number.

2020682304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2020682304 is the 44952-nd square number.

It is an amenable number.

2020682304 is an abundant number, since it is smaller than the sum of its proper divisors (3774332649).

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

2020682304 is an frugal number, since it uses more digits than its factorization.

2020682304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The cubic root of 2020682304 is about 1264.2491764273.

The spelling of 2020682304 in words is "two billion, twenty million, six hundred eighty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1873 3746 5619 7492 11238 14984 16857 22476 29968 33714 44952 59936 67428 89904 119872 134856 179808 269712 359616 539424 1078848 3508129 7016258 10524387 14032516 21048774 28065032 31573161 42097548 56130064 63146322 84195096 112260128 126292644 168390192 224520256 252585288 336780384 505170576 673560768 1010341152 2020682304