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20593 is a prime number
BaseRepresentation
bin101000001110001
31001020201
411001301
51124333
6235201
7114016
oct50161
931221
1020593
1114521
12bb01
1394b1
14770d
15617d
hex5071

20593 has 2 divisors, whose sum is σ = 20594. Its totient is φ = 20592.

The previous prime is 20563. The next prime is 20599. The reversal of 20593 is 39502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20449 + 144 = 143^2 + 12^2 .

It is a cyclic number.

It is not a de Polignac number, because 20593 - 213 = 12401 is a prime.

It is the 144-th Hogben number.

It is a self number, because there is not a number n which added to its sum of digits gives 20593.

It is not a weakly prime, because it can be changed into another prime (20599) by changing a digit.

It is a nontrivial repunit in base 143.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10296 + 10297.

It is an arithmetic number, because the mean of its divisors is an integer number (10297).

220593 is an apocalyptic number.

It is an amenable number.

20593 is a deficient number, since it is larger than the sum of its proper divisors (1).

20593 is an equidigital number, since it uses as much as digits as its factorization.

20593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 20593 is about 143.5026132166. The cubic root of 20593 is about 27.4098424867.

The spelling of 20593 in words is "twenty thousand, five hundred ninety-three".