Search a number
-
+
10021769 is a prime number
BaseRepresentation
bin100110001110…
…101110001001
3200212011021122
4212032232021
510031144034
6554445025
7151116662
oct46165611
920764248
1010021769
11572555a
123433775
1320cb754
14148c369
15d2e62e
hex98eb89

10021769 has 2 divisors, whose sum is σ = 10021770. Its totient is φ = 10021768.

The previous prime is 10021747. The next prime is 10021777. The reversal of 10021769 is 96712001.

10021769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5017600 + 5004169 = 2240^2 + 2237^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10021769 is a prime.

It is a super-2 number, since 2×100217692 = 200871707778722, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10021069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010884 + 5010885.

It is an arithmetic number, because the mean of its divisors is an integer number (5010885).

Almost surely, 210021769 is an apocalyptic number.

It is an amenable number.

10021769 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021769 is an equidigital number, since it uses as much as digits as its factorization.

10021769 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 10021769 is about 3165.7177701115. The cubic root of 10021769 is about 215.5996886623.

The spelling of 10021769 in words is "ten million, twenty-one thousand, seven hundred sixty-nine".