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420789137 is a prime number
BaseRepresentation
bin11001000101001…
…011101110010001
31002022210022011212
4121011023232101
51330210223022
6105430545505
713266435326
oct3105135621
91068708155
10420789137
111a658511a
12b8b08295
136923cc72
143dc56b4d
1526e1d3e2
hex1914bb91

420789137 has 2 divisors, whose sum is σ = 420789138. Its totient is φ = 420789136.

The previous prime is 420789091. The next prime is 420789139. The reversal of 420789137 is 731987024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216413521 + 204375616 = 14711^2 + 14296^2 .

It is a cyclic number.

It is not a de Polignac number, because 420789137 - 218 = 420526993 is a prime.

Together with 420789139, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 420789094 and 420789103.

It is not a weakly prime, because it can be changed into another prime (420789139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210394568 + 210394569.

It is an arithmetic number, because the mean of its divisors is an integer number (210394569).

Almost surely, 2420789137 is an apocalyptic number.

It is an amenable number.

420789137 is a deficient number, since it is larger than the sum of its proper divisors (1).

420789137 is an equidigital number, since it uses as much as digits as its factorization.

420789137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 420789137 is about 20513.1454682114. The cubic root of 420789137 is about 749.3559727598.

It can be divided in two parts, 42078 and 9137, that added together give a palindrome (51215).

The spelling of 420789137 in words is "four hundred twenty million, seven hundred eighty-nine thousand, one hundred thirty-seven".