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580047138 = 2321143171
BaseRepresentation
bin100010100100101…
…101000100100010
31111102110110002100
4202210231010202
52141443002023
6133320231230
720242214346
oct4244550442
91442413070
10580047138
11278470000
1214230b516
1393230a78
1457071626
1535dcac43
hex2292d122

580047138 has 120 divisors (see below), whose sum is σ = 1447130880. Its totient is φ = 167706000.

The previous prime is 580047133. The next prime is 580047161. The reversal of 580047138 is 831740085.

580047138 is a `hidden beast` number, since 580 + 0 + 4 + 71 + 3 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580047133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8169643 + ... + 8169713.

It is an arithmetic number, because the mean of its divisors is an integer number (12059424).

Almost surely, 2580047138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580047138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723565440).

580047138 is an abundant number, since it is smaller than the sum of its proper divisors (867083742).

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

580047138 is a wasteful number, since it uses less digits than its factorization.

580047138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 580047138 is about 24084.1677871584. The cubic root of 580047138 is about 833.9776834427.

The spelling of 580047138 in words is "five hundred eighty million, forty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 71 93 99 121 142 186 198 213 242 279 341 363 426 558 639 682 726 781 1023 1089 1278 1331 1562 2046 2178 2201 2343 2662 3069 3751 3993 4402 4686 6138 6603 7029 7502 7986 8591 11253 11979 13206 14058 14641 17182 19809 22506 23958 24211 25773 29282 33759 39618 41261 43923 48422 51546 67518 72633 77319 82522 87846 94501 123783 131769 145266 154638 189002 217899 247566 263538 266321 283503 371349 435798 453871 532642 567006 742698 798963 850509 907742 1039511 1361613 1597926 1701018 2079022 2396889 2723226 2929531 3118533 4084839 4793778 5859062 6237066 8169678 8788593 9355599 17577186 18711198 26365779 32224841 52731558 64449682 96674523 193349046 290023569 580047138