Search a number
-
+
20000713 is a prime number
BaseRepresentation
bin100110001001…
…0111111001001
31101122010211011
41030102333021
520110010323
61552403521
7332001055
oct114227711
941563734
1020000713
1110320917
1268465a1
1341b3855
142928c65
151b5120d
hex1312fc9

20000713 has 2 divisors, whose sum is σ = 20000714. Its totient is φ = 20000712.

The previous prime is 20000707. The next prime is 20000723. The reversal of 20000713 is 31700002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18636489 + 1364224 = 4317^2 + 1168^2 .

It is a cyclic number.

It is not a de Polignac number, because 20000713 - 213 = 19992521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20000693 and 20000702.

It is not a weakly prime, because it can be changed into another prime (20000723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000356 + 10000357.

It is an arithmetic number, because the mean of its divisors is an integer number (10000357).

Almost surely, 220000713 is an apocalyptic number.

It is an amenable number.

20000713 is a deficient number, since it is larger than the sum of its proper divisors (1).

20000713 is an equidigital number, since it uses as much as digits as its factorization.

20000713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 20000713 is about 4472.2156701125. The cubic root of 20000713 is about 271.4449872541. Note that the first 3 decimals are identical.

Adding to 20000713 its reverse (31700002), we get a palindrome (51700715).

The spelling of 20000713 in words is "twenty million, seven hundred thirteen", and thus it is an aban number.