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580968864 = 25327288179
BaseRepresentation
bin100010101000001…
…110000110100000
31111111012021110100
4202220032012200
52142212000424
6133352102400
720253103530
oct4250160640
91444167410
10580968864
11278a3a563
12142694a00
1393494478
14572314c0
153600ddc9
hex22a0e1a0

580968864 has 72 divisors (see below), whose sum is σ = 1888155360. Its totient is φ = 165990528.

The previous prime is 580968853. The next prime is 580968889. The reversal of 580968864 is 468869085.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 580968864.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142074 + ... + 146105.

It is an arithmetic number, because the mean of its divisors is an integer number (26224380).

Almost surely, 2580968864 is an apocalyptic number.

It is an amenable number.

580968864 is an abundant number, since it is smaller than the sum of its proper divisors (1307186496).

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

580968864 is a wasteful number, since it uses less digits than its factorization.

580968864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288202 (or 288191 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 580968864 is about 24103.2957082636. The cubic root of 580968864 is about 834.4191947470.

The spelling of 580968864 in words is "five hundred eighty million, nine hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 288179 576358 864537 1152716 1729074 2017253 2305432 2593611 3458148 4034506 4610864 5187222 6051759 6916296 8069012 9221728 10374444 12103518 13832592 16138024 18155277 20748888 24207036 27665184 32276048 36310554 41497776 48414072 64552096 72621108 82995552 96828144 145242216 193656288 290484432 580968864