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BaseRepresentation
bin101000011001011
31001101001
411003023
51130213
6235431
7114205
oct50313
931331
1020683
11145a3
12bb77
139550
147775
1561dd
hex50cb

20683 has 8 divisors (see below), whose sum is σ = 23408. Its totient is φ = 18144.

The previous prime is 20681. The next prime is 20693. The reversal of 20683 is 38602.

Adding to 20683 its sum of digits (19), we get a palindrome (20702).

It can be divided in two parts, 206 and 83, that added together give a square (289 = 172).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20683 - 21 = 20681 is a prime.

It is a Duffinian number.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 20683 = 103 + 273 = 193 + 243.

It is a nialpdrome in base 12, base 13 and base 14.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 20683.

It is not an unprimeable number, because it can be changed into a prime (20681) 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 7 ways as a sum of consecutive naturals, for example, 460 + ... + 502.

It is an arithmetic number, because the mean of its divisors is an integer number (2926).

220683 is an apocalyptic number.

20683 is a deficient number, since it is larger than the sum of its proper divisors (2725).

20683 is a wasteful number, since it uses less digits than its factorization.

20683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 20683 is about 143.8158544807. The cubic root of 20683 is about 27.4497152712.

The spelling of 20683 in words is "twenty thousand, six hundred eighty-three".

Divisors: 1 13 37 43 481 559 1591 20683