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2000029 is a prime number
BaseRepresentation
bin111101000010010011101
310202121112011
413220102131
51003000104
6110511221
722666663
oct7502235
93677464
102000029
111146719
12805511
13550465
143a0c33
15297904
hex1e849d

2000029 has 2 divisors, whose sum is σ = 2000030. Its totient is φ = 2000028.

The previous prime is 2000003. The next prime is 2000039. The reversal of 2000029 is 9200002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1375929 + 624100 = 1173^2 + 790^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000029 - 213 = 1991837 is a prime.

2000029 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1999982 and 2000018.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000039) 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, 1000014 + 1000015.

It is an arithmetic number, because the mean of its divisors is an integer number (1000015).

22000029 is an apocalyptic number.

It is an amenable number.

2000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000029 is an equidigital number, since it uses as much as digits as its factorization.

2000029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2000029 is about 1414.2238153843. The cubic root of 2000029 is about 125.9927139484.

The spelling of 2000029 in words is "two million, twenty-nine", and thus it is an aban number and an uban number.