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580706064 = 24331344227
BaseRepresentation
bin100010100111001…
…101111100010000
31111110200220222000
4202213031330100
52142130043224
6133342314000
720250630411
oct4247157420
91443626860
10580706064
11278880074
12142588900
1393401973
14571a3808
1535eab0c9
hex229cdf10

580706064 has 40 divisors (see below), whose sum is σ = 1666842720. Its totient is φ = 193568544.

The previous prime is 580706059. The next prime is 580706131. The reversal of 580706064 is 460607085.

It is a happy number.

580706064 is a `hidden beast` number, since 580 + 70 + 6 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 671682 + ... + 672545.

It is an arithmetic number, because the mean of its divisors is an integer number (41671068).

Almost surely, 2580706064 is an apocalyptic number.

580706064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

580706064 is an abundant number, since it is smaller than the sum of its proper divisors (1086136656).

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

580706064 is a wasteful number, since it uses less digits than its factorization.

580706064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344244 (or 1344232 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 580706064 is about 24097.8435549740. The cubic root of 580706064 is about 834.2933598697.

The spelling of 580706064 in words is "five hundred eighty million, seven hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1344227 2688454 4032681 5376908 8065362 10753816 12098043 16130724 21507632 24196086 32261448 36294129 48392172 64522896 72588258 96784344 145176516 193568688 290353032 580706064