Search a number
-
+
20284697 is a prime number
BaseRepresentation
bin100110101100…
…0010100011001
31102011120101002
41031120110121
520143102242
62002434345
7334263026
oct115302431
942146332
1020284697
11104a5214
1269629b5
134282ba4
1429a054d
151baa432
hex1358519

20284697 has 2 divisors, whose sum is σ = 20284698. Its totient is φ = 20284696.

The previous prime is 20284669. The next prime is 20284699. The reversal of 20284697 is 79648202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10896601 + 9388096 = 3301^2 + 3064^2 .

It is a cyclic number.

It is not a de Polignac number, because 20284697 - 28 = 20284441 is a prime.

It is a super-2 number, since 2×202846972 = 822937864763618, which contains 22 as substring.

Together with 20284699, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20284697.

It is not a weakly prime, because it can be changed into another prime (20284699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10142348 + 10142349.

It is an arithmetic number, because the mean of its divisors is an integer number (10142349).

Almost surely, 220284697 is an apocalyptic number.

It is an amenable number.

20284697 is a deficient number, since it is larger than the sum of its proper divisors (1).

20284697 is an equidigital number, since it uses as much as digits as its factorization.

20284697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 20284697 is about 4503.8535722201. The cubic root of 20284697 is about 272.7236757337.

The spelling of 20284697 in words is "twenty million, two hundred eighty-four thousand, six hundred ninety-seven".