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20164 = 22712
BaseRepresentation
bin100111011000100
31000122211
410323010
51121124
6233204
7112534
oct47304
930584
1020164
1114171
12b804
139241
1474c4
155e94
hex4ec4

20164 has 9 divisors (see below), whose sum is σ = 35791. Its totient is φ = 9940.

The previous prime is 20161. The next prime is 20173. The reversal of 20164 is 46102.

Adding to 20164 its reverse (46102), we get a palindrome (66266).

20164 = T141 + T142.

The square root of 20164 is 142.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20161) 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 2 ways as a sum of consecutive naturals, for example, 249 + ... + 319.

220164 is an apocalyptic number.

20164 is the 142-nd square number.

It is an amenable number.

20164 is a deficient number, since it is larger than the sum of its proper divisors (15627).

20164 is an equidigital number, since it uses as much as digits as its factorization.

20164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The cubic root of 20164 is about 27.2181683691.

The spelling of 20164 in words is "twenty thousand, one hundred sixty-four".

Divisors: 1 2 4 71 142 284 5041 10082 20164