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420129761 is a prime number
BaseRepresentation
bin11001000010101…
…010101111100001
31002021112210200112
4121002222233201
51330023123021
6105404501105
713261021052
oct3102525741
91067483615
10420129761
111a6174787
12b884a795
136906babc
143db24729
1526d3cd5b
hex190aabe1

420129761 has 2 divisors, whose sum is σ = 420129762. Its totient is φ = 420129760.

The previous prime is 420129733. The next prime is 420129769. The reversal of 420129761 is 167921024.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 228584161 + 191545600 = 15119^2 + 13840^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-420129761 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p22350983 and since 420129761 and 22350983 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (420129769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210064880 + 210064881.

It is an arithmetic number, because the mean of its divisors is an integer number (210064881).

Almost surely, 2420129761 is an apocalyptic number.

It is an amenable number.

420129761 is a deficient number, since it is larger than the sum of its proper divisors (1).

420129761 is an equidigital number, since it uses as much as digits as its factorization.

420129761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 420129761 is about 20497.0671316654. The cubic root of 420129761 is about 748.9643548734.

The spelling of 420129761 in words is "four hundred twenty million, one hundred twenty-nine thousand, seven hundred sixty-one".