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10264337 is a prime number
BaseRepresentation
bin100111001001…
…111100010001
3201022111000122
4213021330101
510111424322
61004000025
7153150116
oct47117421
921274018
1010264337
115880826
123530015
132184c95
14151290d
15d7b442
hex9c9f11

10264337 has 2 divisors, whose sum is σ = 10264338. Its totient is φ = 10264336.

The previous prime is 10264301. The next prime is 10264339. The reversal of 10264337 is 73346201.

10264337 is digitally balanced in base 2 and base 3, because in such bases 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., 6574096 + 3690241 = 2564^2 + 1921^2 .

It is an emirp because it is prime and its reverse (73346201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10264337 - 28 = 10264081 is a prime.

It is a super-2 number, since 2×102643372 = 210713228099138, which contains 22 as substring.

Together with 10264339, 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 (10264339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5132168 + 5132169.

It is an arithmetic number, because the mean of its divisors is an integer number (5132169).

Almost surely, 210264337 is an apocalyptic number.

It is an amenable number.

10264337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10264337 is an equidigital number, since it uses as much as digits as its factorization.

10264337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 10264337 is about 3203.8003995255. The cubic root of 10264337 is about 217.3253065043.

It can be divided in two parts, 10264 and 337, that added together give a palindrome (10601).

The spelling of 10264337 in words is "ten million, two hundred sixty-four thousand, three hundred thirty-seven".