Search a number
-
+
580146864 = 243113113533
BaseRepresentation
bin100010100101000…
…101011010110000
31111102122111212220
4202211011122300
52142004144424
6133322321040
720243111163
oct4245053260
91442574786
10580146864
11278528a20
12142359180
139326728b
1457099ada
1535dea579
hex229456b0

580146864 has 80 divisors (see below), whose sum is σ = 1640680704. Its totient is φ = 175187200.

The previous prime is 580146781. The next prime is 580146869. The reversal of 580146864 is 468641085.

It is not an unprimeable number, because it can be changed into a prime (580146869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162442 + ... + 165974.

Almost surely, 2580146864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580146864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820340352).

580146864 is an abundant number, since it is smaller than the sum of its proper divisors (1060533840).

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

580146864 is a wasteful number, since it uses less digits than its factorization.

580146864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 580146864 is about 24086.2380624289. The cubic root of 580146864 is about 834.0254752439.

The spelling of 580146864 in words is "five hundred eighty million, one hundred forty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 311 528 622 933 1244 1866 2488 3421 3533 3732 4976 6842 7066 7464 10263 10599 13684 14132 14928 20526 21198 27368 28264 38863 41052 42396 54736 56528 77726 82104 84792 116589 155452 164208 169584 233178 310904 466356 621808 932712 1098763 1865424 2197526 3296289 4395052 6592578 8790104 12086393 13185156 17580208 24172786 26370312 36259179 48345572 52740624 72518358 96691144 145036716 193382288 290073432 580146864