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36540209 is a prime number
BaseRepresentation
bin1000101101100…
…0111100110001
32112202102202002
42023120330301
533323241314
63343103345
7622405136
oct213307461
975672662
1036540209
1119698222
12102a1b55
137754b34
144bd258d
15331bade
hex22d8f31

36540209 has 2 divisors, whose sum is σ = 36540210. Its totient is φ = 36540208.

The previous prime is 36540193. The next prime is 36540233. The reversal of 36540209 is 90204563.

36540209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33640000 + 2900209 = 5800^2 + 1703^2 .

It is a cyclic number.

It is not a de Polignac number, because 36540209 - 24 = 36540193 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (36540269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18270104 + 18270105.

It is an arithmetic number, because the mean of its divisors is an integer number (18270105).

Almost surely, 236540209 is an apocalyptic number.

It is an amenable number.

36540209 is a deficient number, since it is larger than the sum of its proper divisors (1).

36540209 is an equidigital number, since it uses as much as digits as its factorization.

36540209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 36540209 is about 6044.8497913513. The cubic root of 36540209 is about 331.8361344774.

The spelling of 36540209 in words is "thirty-six million, five hundred forty thousand, two hundred nine".