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580430268 = 2232118391747
BaseRepresentation
bin100010100110001…
…010100110111100
31111110011220122100
4202212022212330
52142042232033
6133332345100
720245401345
oct4246124674
91443156570
10580430268
11278701940
12142475190
1393336282
14571310cc
1535e54513
hex2298a9bc

580430268 has 72 divisors (see below), whose sum is σ = 1603405440. Its totient is φ = 175577760.

The previous prime is 580430251. The next prime is 580430281. The reversal of 580430268 is 862034085.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331371 + ... + 333117.

It is an arithmetic number, because the mean of its divisors is an integer number (22269520).

Almost surely, 2580430268 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 580430268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801702720).

580430268 is an abundant number, since it is smaller than the sum of its proper divisors (1022975172).

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

580430268 is a wasteful number, since it uses less digits than its factorization.

580430268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 580430268 is about 24092.1204546217. The cubic root of 580430268 is about 834.1612613654.

The spelling of 580430268 in words is "five hundred eighty million, four hundred thirty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 839 1678 1747 2517 3356 3494 5034 5241 6988 7551 9229 10068 10482 15102 15723 18458 19217 20964 27687 30204 31446 36916 38434 55374 57651 62892 76868 83061 110748 115302 166122 172953 230604 332244 345906 691812 1465733 2931466 4397199 5862932 8794398 13191597 16123063 17588796 26383194 32246126 48369189 52766388 64492252 96738378 145107567 193476756 290215134 580430268