Search a number
-
+
10000849 is a prime number
BaseRepresentation
bin100110001001…
…100111010001
3200211002120211
4212021213101
510030011344
6554204121
7151001665
oct46114721
920732524
1010000849
115710871
123423641
1320c2081
1414848a5
15d28334
hex9899d1

10000849 has 2 divisors, whose sum is σ = 10000850. Its totient is φ = 10000848.

The previous prime is 10000831. The next prime is 10000867. The reversal of 10000849 is 94800001.

10000849 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10000831) and next prime (10000867).

It can be written as a sum of positive squares in only one way, i.e., 8596624 + 1404225 = 2932^2 + 1185^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000849 - 27 = 10000721 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000819) 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, 5000424 + 5000425.

It is an arithmetic number, because the mean of its divisors is an integer number (5000425).

Almost surely, 210000849 is an apocalyptic number.

It is an amenable number.

10000849 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000849 is an equidigital number, since it uses as much as digits as its factorization.

10000849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 10000849 is about 3162.4118960060. The cubic root of 10000849 is about 215.4495658808.

The spelling of 10000849 in words is "ten million, eight hundred forty-nine", and thus it is an aban number.