Search a number
-
+
1006000249 is a prime number
BaseRepresentation
bin111011111101100…
…101100001111001
32121002222002220111
4323331211201321
54030014001444
6243454024321
733633601222
oct7375454171
92532862814
101006000249
11476951971
12240aa80a1
1313055b327
1497870249
155d4b9234
hex3bf65879

1006000249 has 2 divisors, whose sum is σ = 1006000250. Its totient is φ = 1006000248.

The previous prime is 1006000223. The next prime is 1006000273. The reversal of 1006000249 is 9420006001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 996033600 + 9966649 = 31560^2 + 3157^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006000249 - 221 = 1003903097 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006010249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503000124 + 503000125.

It is an arithmetic number, because the mean of its divisors is an integer number (503000125).

Almost surely, 21006000249 is an apocalyptic number.

It is an amenable number.

1006000249 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006000249 is an equidigital number, since it uses as much as digits as its factorization.

1006000249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1006000249 is about 31717.5069795846. The cubic root of 1006000249 is about 1001.9960959499.

The spelling of 1006000249 in words is "one billion, six million, two hundred forty-nine", and thus it is an aban number.