Base | Representation |
---|---|
bin | 100110010110… |
… | …0110001000010 |
3 | 1101211111200000 |
4 | 1030230301002 |
5 | 20121400211 |
6 | 1554540430 |
7 | 332620653 |
oct | 114546102 |
9 | 41744600 |
10 | 20106306 |
11 | 10393190 |
12 | 6897716 |
13 | 421c92c |
14 | 295552a |
15 | 1b72656 |
hex | 132cc42 |
20106306 has 48 divisors (see below), whose sum is σ = 49297248. Its totient is φ = 6091200.
The previous prime is 20106293. The next prime is 20106311. The reversal of 20106306 is 60360102.
It is a happy number.
20106306 is a `hidden beast` number, since 20 + 10 + 630 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3466 + ... + 7226.
It is an arithmetic number, because the mean of its divisors is an integer number (1027026).
Almost surely, 220106306 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 20106306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24648624).
20106306 is an abundant number, since it is smaller than the sum of its proper divisors (29190942).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20106306 is a wasteful number, since it uses less digits than its factorization.
20106306 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3789 (or 3777 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 20106306 is about 4484.0055753757. The cubic root of 20106306 is about 271.9218435337.
Adding to 20106306 its reverse (60360102), we get a palindrome (80466408).
The spelling of 20106306 in words is "twenty million, one hundred six thousand, three hundred six".
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