Base | Representation |
---|---|
bin | 100111010000… |
… | …1110100110101 |
3 | 1102201212101100 |
4 | 1032201310311 |
5 | 20232221111 |
6 | 2013120313 |
7 | 336655566 |
oct | 116416465 |
9 | 42655340 |
10 | 20585781 |
11 | 10690447 |
12 | 6a89099 |
13 | 4359c48 |
14 | 2a3c16d |
15 | 1c19756 |
hex | 13a1d35 |
20585781 has 12 divisors (see below), whose sum is σ = 30143308. Its totient is φ = 13535424.
The previous prime is 20585771. The next prime is 20585791. The reversal of 20585781 is 18758502.
20585781 is a `hidden beast` number, since 2 + 0 + 585 + 78 + 1 = 666.
It is an interprime number because it is at equal distance from previous prime (20585771) and next prime (20585791).
It can be written as a sum of positive squares in 2 ways, for example, as 17892900 + 2692881 = 4230^2 + 1641^2 .
It is not a de Polignac number, because 20585781 - 26 = 20585717 is a prime.
It is a super-2 number, since 2×205857812 = 847548758759922, which contains 22 as substring.
It is a Duffinian number.
It is a Curzon number.
It is a zygodrome in base 7.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20585701) 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 11 ways as a sum of consecutive naturals, for example, 15010 + ... + 16323.
Almost surely, 220585781 is an apocalyptic number.
It is an amenable number.
20585781 is a deficient number, since it is larger than the sum of its proper divisors (9557527).
20585781 is a wasteful number, since it uses less digits than its factorization.
20585781 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31412 (or 31409 counting only the distinct ones).
The product of its (nonzero) digits is 22400, while the sum is 36.
The square root of 20585781 is about 4537.1556067651. The cubic root of 20585781 is about 274.0663921732.
The spelling of 20585781 in words is "twenty million, five hundred eighty-five thousand, seven hundred eighty-one".
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