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566260020 = 22325412772
BaseRepresentation
bin100001110000000…
…111000100110100
31110110111222201100
4201300013010310
52124430310040
6132104530100
720014062564
oct4160070464
91413458640
10566260020
11270703597
12139780930
1390414501
14552c2da4
1534aa5b30
hex21c07134

566260020 has 108 divisors (see below), whose sum is σ = 1765924524. Its totient is φ = 146787840.

The previous prime is 566260001. The next prime is 566260027. The reversal of 566260020 is 20062665.

566260020 is a `hidden beast` number, since 56 + 6 + 2 + 600 + 2 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 240746256 + 325513764 = 15516^2 + 18042^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (566260027) 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 35 ways as a sum of consecutive naturals, for example, 2044122 + ... + 2044398.

It is an arithmetic number, because the mean of its divisors is an integer number (16351153).

Almost surely, 2566260020 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 566260020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882962262).

566260020 is an abundant number, since it is smaller than the sum of its proper divisors (1199664504).

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

566260020 is a wasteful number, since it uses less digits than its factorization.

566260020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 566260020 is about 23796.2186071653. The cubic root of 566260020 is about 827.3170346631.

The spelling of 566260020 in words is "five hundred sixty-six million, two hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 277 369 410 492 554 615 738 820 831 1108 1230 1385 1476 1662 1845 2460 2493 2770 3324 3690 4155 4986 5540 7380 8310 9972 11357 12465 16620 22714 24930 34071 45428 49860 56785 68142 76729 102213 113570 136284 153458 170355 204426 227140 230187 306916 340710 383645 408852 460374 511065 681420 690561 767290 920748 1022130 1150935 1381122 1534580 2044260 2301870 2762244 3145889 3452805 4603740 6291778 6905610 9437667 12583556 13811220 15729445 18875334 28313001 31458890 37750668 47188335 56626002 62917780 94376670 113252004 141565005 188753340 283130010 566260020