Base | Representation |
---|---|
bin | 100001101111101… |
… | …110110110000000 |
3 | 1110110022221120100 |
4 | 201233232312000 |
5 | 2124414121033 |
6 | 132102442400 |
7 | 20013200325 |
oct | 4157566600 |
9 | 1413287510 |
10 | 566160768 |
11 | 270645a68 |
12 | 139733400 |
13 | 903ab294 |
14 | 55298b4c |
15 | 34a86513 |
hex | 21beed80 |
566160768 has 96 divisors (see below), whose sum is σ = 1650074400. Its totient is φ = 186301440.
The previous prime is 566160757. The next prime is 566160769. The reversal of 566160768 is 867061665.
566160768 is a `hidden beast` number, since 566 + 16 + 0 + 76 + 8 = 666.
566160768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (566160769) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87898 + ... + 94118.
It is an arithmetic number, because the mean of its divisors is an integer number (17188275).
Almost surely, 2566160768 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 566160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825037200).
566160768 is an abundant number, since it is smaller than the sum of its proper divisors (1083913632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
566160768 is a wasteful number, since it uses less digits than its factorization.
566160768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6320 (or 6305 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 566160768 is about 23794.1330583823. The cubic root of 566160768 is about 827.2686954636.
The spelling of 566160768 in words is "five hundred sixty-six million, one hundred sixty thousand, seven hundred sixty-eight".
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