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580560942 = 2313103127569
BaseRepresentation
bin100010100110101…
…010100000101110
31111110102112220010
4202212222200232
52142110422232
6133335234050
720246454333
oct4246524056
91443375803
10580560942
11278791035
12142518926
13933808b0
145716698a
1535e7d0cc
hex229aa82e

580560942 has 64 divisors (see below), whose sum is σ = 1274757120. Its totient is φ = 175198464.

The previous prime is 580560919. The next prime is 580560949. The reversal of 580560942 is 249065085.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 580560942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580560949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1020034 + ... + 1020602.

It is an arithmetic number, because the mean of its divisors is an integer number (19918080).

Almost surely, 2580560942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580560942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637378560).

580560942 is an abundant number, since it is smaller than the sum of its proper divisors (694196178).

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

580560942 is a wasteful number, since it uses less digits than its factorization.

580560942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817.

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 580560942 is about 24094.8322675216. The cubic root of 580560942 is about 834.2238557404.

The spelling of 580560942 in words is "five hundred eighty million, five hundred sixty thousand, nine hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 103 127 206 254 309 381 569 618 762 1138 1339 1651 1707 2678 3302 3414 4017 4953 7397 8034 9906 13081 14794 22191 26162 39243 44382 58607 72263 78486 117214 144526 170053 175821 216789 340106 351642 433578 510159 761891 939419 1020318 1523782 1878838 2285673 2818257 4571346 5636514 7443089 14886178 22329267 44658534 96760157 193520314 290280471 580560942