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1006000393 is a prime number
BaseRepresentation
bin111011111101100…
…101100100001001
32121002222010002211
4323331211210021
54030014003033
6243454025121
733633601516
oct7375454411
92532863084
101006000393
11476951a92
12240aa81a1
1313055b408
149787030d
155d4b92cd
hex3bf65909

1006000393 has 2 divisors, whose sum is σ = 1006000394. Its totient is φ = 1006000392.

The previous prime is 1006000379. The next prime is 1006000403. The reversal of 1006000393 is 3930006001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 543449344 + 462551049 = 23312^2 + 21507^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006000393 - 29 = 1005999881 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006000493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503000196 + 503000197.

It is an arithmetic number, because the mean of its divisors is an integer number (503000197).

Almost surely, 21006000393 is an apocalyptic number.

It is an amenable number.

1006000393 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006000393 is an equidigital number, since it uses as much as digits as its factorization.

1006000393 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 1006000393 is about 31717.5092496243. The cubic root of 1006000393 is about 1001.9961437588.

Adding to 1006000393 its reverse (3930006001), we get a palindrome (4936006394).

The spelling of 1006000393 in words is "one billion, six million, three hundred ninety-three", and thus it is an aban number.