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561813060 = 223543713067
BaseRepresentation
bin100001011111001…
…001011001000100
31110011011001122010
4201133021121010
52122311004220
6131425334220
716631221644
oct4137113104
91404131563
10561813060
11269146516
12138197370
138c518383
1454886524
15344c81e0
hex217c9644

561813060 has 96 divisors (see below), whose sum is σ = 1632863232. Its totient is φ = 144224640.

The previous prime is 561813047. The next prime is 561813089. The reversal of 561813060 is 60318165.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 181647 + ... + 184713.

It is an arithmetic number, because the mean of its divisors is an integer number (17008992).

Almost surely, 2561813060 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 561813060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816431616).

561813060 is an abundant number, since it is smaller than the sum of its proper divisors (1071050172).

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

561813060 is a wasteful number, since it uses less digits than its factorization.

561813060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 561813060 is about 23702.5960603475. The cubic root of 561813060 is about 825.1456418725.

The spelling of 561813060 in words is "five hundred sixty-one million, eight hundred thirteen thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 71 86 129 142 172 213 215 258 284 355 426 430 516 645 710 852 860 1065 1290 1420 2130 2580 3053 3067 4260 6106 6134 9159 9201 12212 12268 15265 15335 18318 18402 30530 30670 36636 36804 45795 46005 61060 61340 91590 92010 131881 183180 184020 217757 263762 395643 435514 527524 653271 659405 791286 871028 1088785 1306542 1318810 1582572 1978215 2177570 2613084 2637620 3266355 3956430 4355140 6532710 7912860 9363551 13065420 18727102 28090653 37454204 46817755 56181306 93635510 112362612 140453265 187271020 280906530 561813060