Search a number
-
+
1006393 is a prime number
BaseRepresentation
bin11110101101100111001
31220010111211
43311230321
5224201033
633323121
711361043
oct3655471
91803454
101006393
11628133
124064a1
132930cb
141c2a93
1514d2cd
hexf5b39

1006393 has 2 divisors, whose sum is σ = 1006394. Its totient is φ = 1006392.

The previous prime is 1006391. The next prime is 1006433. The reversal of 1006393 is 3936001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 727609 + 278784 = 853^2 + 528^2 .

It is an emirp because it is prime and its reverse (3936001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006393 - 21 = 1006391 is a prime.

Together with 1006391, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1006391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503196 + 503197.

It is an arithmetic number, because the mean of its divisors is an integer number (503197).

21006393 is an apocalyptic number.

It is an amenable number.

1006393 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006393 is an equidigital number, since it uses as much as digits as its factorization.

1006393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 1006393 is about 1003.1914074592. The cubic root of 1006393 is about 100.2126474899.

The spelling of 1006393 in words is "one million, six thousand, three hundred ninety-three".