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20636 = 2271167
BaseRepresentation
bin101000010011100
31001022022
411002130
51130021
6235312
7114110
oct50234
931268
1020636
1114560
12bb38
139515
147740
1561ab
hex509c

20636 has 24 divisors (see below), whose sum is σ = 45696. Its totient is φ = 7920.

The previous prime is 20627. The next prime is 20639. The reversal of 20636 is 63602.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20639) by changing a digit.

20636 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (1904).

220636 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 20636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22848).

20636 is an abundant number, since it is smaller than the sum of its proper divisors (25060).

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

20636 is a wasteful number, since it uses less digits than its factorization.

20636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 20636 is about 143.6523581428. The cubic root of 20636 is about 27.4289072793.

It can be divided in two parts, 206 and 36, that added together give a palindrome (242).

The spelling of 20636 in words is "twenty thousand, six hundred thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 67 77 134 154 268 308 469 737 938 1474 1876 2948 5159 10318 20636