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560085288 = 23372641743
BaseRepresentation
bin100001011000100…
…011100100101000
31110000220021120120
4201120203210220
52121340212123
6131324323240
716610434500
oct4130434450
91400807516
10560085288
11268176404
121376a3520
138c061b19
1454556a00
15342862e3
hex21623928

560085288 has 96 divisors (see below), whose sum is σ = 1633556160. Its totient is φ = 159559680.

The previous prime is 560085269. The next prime is 560085293. The reversal of 560085288 is 882580065.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 753445 + ... + 754187.

It is an arithmetic number, because the mean of its divisors is an integer number (17016210).

Almost surely, 2560085288 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 560085288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816778080).

560085288 is an abundant number, since it is smaller than the sum of its proper divisors (1073470872).

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

560085288 is a wasteful number, since it uses less digits than its factorization.

560085288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 560085288 is about 23666.1211016930. The cubic root of 560085288 is about 824.2989026210.

The spelling of 560085288 in words is "five hundred sixty million, eighty-five thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 641 743 1176 1282 1486 1923 2229 2564 2972 3846 4458 4487 5128 5201 5944 7692 8916 8974 10402 13461 15384 15603 17832 17948 20804 26922 31206 31409 35896 36407 41608 53844 62412 62818 72814 94227 107688 109221 124824 125636 145628 188454 218442 251272 291256 376908 436884 476263 753816 873768 952526 1428789 1905052 2857578 3333841 3810104 5715156 6667682 10001523 11430312 13335364 20003046 23336887 26670728 40006092 46673774 70010661 80012184 93347548 140021322 186695096 280042644 560085288