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2130769 is a prime number
BaseRepresentation
bin1000001000001101010001
311000020212101
420020031101
51021141034
6113400401
724053104
oct10101521
94006771
102130769
111225973
12869101
13597b14
143d673b
152c1514
hex208351

2130769 has 2 divisors, whose sum is σ = 2130770. Its totient is φ = 2130768.

The previous prime is 2130767. The next prime is 2130803. The reversal of 2130769 is 9670312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1587600 + 543169 = 1260^2 + 737^2 .

It is a cyclic number.

It is not a de Polignac number, because 2130769 - 21 = 2130767 is a prime.

It is a super-2 number, since 2×21307692 = 9080353062722, which contains 22 as substring.

Together with 2130767, it forms a pair of twin primes.

It is a Chen prime.

2130769 is a lucky number.

It is equal to p157933 and since 2130769 and 157933 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 (2130767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065384 + 1065385.

It is an arithmetic number, because the mean of its divisors is an integer number (1065385).

22130769 is an apocalyptic number.

It is an amenable number.

2130769 is a deficient number, since it is larger than the sum of its proper divisors (1).

2130769 is an equidigital number, since it uses as much as digits as its factorization.

2130769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 2130769 is about 1459.7153832169. The cubic root of 2130769 is about 128.6803173373.

The spelling of 2130769 in words is "two million, one hundred thirty thousand, seven hundred sixty-nine".