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20360 = 235509
BaseRepresentation
bin100111110001000
31000221002
410332020
51122420
6234132
7113234
oct47610
930832
1020360
111432a
12b948
139362
1475c4
156075
hex4f88

20360 has 16 divisors (see below), whose sum is σ = 45900. Its totient is φ = 8128.

The previous prime is 20359. The next prime is 20369. The reversal of 20360 is 6302.

Adding to 20360 its reverse (6302), we get a palindrome (26662).

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20164 + 196 = 142^2 + 14^2 .

It is not an unprimeable number, because it can be changed into a prime (20369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 215 + ... + 294.

220360 is an apocalyptic number.

20360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20360 is an abundant number, since it is smaller than the sum of its proper divisors (25540).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22950).

20360 is a wasteful number, since it uses less digits than its factorization.

20360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 20360 is about 142.6884718539. The cubic root of 20360 is about 27.3060736888.

The spelling of 20360 in words is "twenty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 509 1018 2036 2545 4072 5090 10180 20360