Search a number
-
+
10268849 is a prime number
BaseRepresentation
bin100111001011…
…000010110001
3201022201012202
4213023002301
510112100344
61004032545
7153166223
oct47130261
921281182
1010268849
115884158
123532755
132187056
141514413
15d7c94e
hex9cb0b1

10268849 has 2 divisors, whose sum is σ = 10268850. Its totient is φ = 10268848.

The previous prime is 10268827. The next prime is 10268851. The reversal of 10268849 is 94886201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7118224 + 3150625 = 2668^2 + 1775^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10268849 is a prime.

Together with 10268851, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10268809) 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, 5134424 + 5134425.

It is an arithmetic number, because the mean of its divisors is an integer number (5134425).

Almost surely, 210268849 is an apocalyptic number.

It is an amenable number.

10268849 is a deficient number, since it is larger than the sum of its proper divisors (1).

10268849 is an equidigital number, since it uses as much as digits as its factorization.

10268849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 10268849 is about 3204.5044858761. The cubic root of 10268849 is about 217.3571458115.

The spelling of 10268849 in words is "ten million, two hundred sixty-eight thousand, eight hundred forty-nine".