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420000029 is a prime number
BaseRepresentation
bin11001000010001…
…011000100011101
31002021022012201122
4121002023010131
51330010000104
6105402020325
713256640611
oct3102130435
91067265648
10420000029
111a6096269
12b87a76a5
1369024a37
143dacd341
1526d146be
hex1908b11d

420000029 has 2 divisors, whose sum is σ = 420000030. Its totient is φ = 420000028.

The previous prime is 419999947. The next prime is 420000101. The reversal of 420000029 is 920000024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 412699225 + 7300804 = 20315^2 + 2702^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-420000029 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 419999971 and 420000016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420000629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210000014 + 210000015.

It is an arithmetic number, because the mean of its divisors is an integer number (210000015).

Almost surely, 2420000029 is an apocalyptic number.

It is an amenable number.

420000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

420000029 is an equidigital number, since it uses as much as digits as its factorization.

420000029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 420000029 is about 20493.9022394467. The cubic root of 420000029 is about 748.8872559581.

The spelling of 420000029 in words is "four hundred twenty million, twenty-nine", and thus it is an aban number.