[go: up one dir, main page]

Search a number
-
+
10024009 is a prime number
BaseRepresentation
bin100110001111…
…010001001001
3200212021100121
4212033101021
510031232014
6554503241
7151126342
oct46172111
920767317
1010024009
115727206
123434b21
1320cc788
14148d0c9
15d30124
hex98f449

10024009 has 2 divisors, whose sum is σ = 10024010. Its totient is φ = 10024008.

The previous prime is 10023991. The next prime is 10024043. The reversal of 10024009 is 90042001.

10024009 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5161984 + 4862025 = 2272^2 + 2205^2 .

It is a cyclic number.

It is not a de Polignac number, because 10024009 - 223 = 1635401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10023983 and 10024001.

It is not a weakly prime, because it can be changed into another prime (10024109) 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, 5012004 + 5012005.

It is an arithmetic number, because the mean of its divisors is an integer number (5012005).

Almost surely, 210024009 is an apocalyptic number.

It is an amenable number.

10024009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10024009 is an equidigital number, since it uses as much as digits as its factorization.

10024009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 10024009 is about 3166.0715405688. The cubic root of 10024009 is about 215.6157506079.

The spelling of 10024009 in words is "ten million, twenty-four thousand, nine".