[go: up one dir, main page]

Search a number
-
+
10637009 is a prime number
BaseRepresentation
bin101000100100…
…111011010001
3202000102020022
4220210323101
510210341014
61015553225
7156261455
oct50447321
922012208
1010637009
116005819
12368b815
1322857b6
1415ac665
15e01a8e
hexa24ed1

10637009 has 2 divisors, whose sum is σ = 10637010. Its totient is φ = 10637008.

The previous prime is 10636957. The next prime is 10637023. The reversal of 10637009 is 90073601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10627600 + 9409 = 3260^2 + 97^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10637009 is a prime.

It is a super-2 number, since 2×106370092 = 226291920932162, which contains 22 as substring.

It is equal to p704069 and since 10637009 and 704069 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (10637089) 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, 5318504 + 5318505.

It is an arithmetic number, because the mean of its divisors is an integer number (5318505).

Almost surely, 210637009 is an apocalyptic number.

It is an amenable number.

10637009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10637009 is an equidigital number, since it uses as much as digits as its factorization.

10637009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 10637009 is about 3261.4427788940. The cubic root of 10637009 is about 219.9242783481.

The spelling of 10637009 in words is "ten million, six hundred thirty-seven thousand, nine".