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13827065 = 57256437
BaseRepresentation
bin110100101111…
…101111111001
3222000111011112
4310233233321
512014431230
61212210105
7225346100
oct64575771
928014145
1013827065
11789452a
124769935
132b317c5
141b9d037
151331d95
hexd2fbf9

13827065 has 12 divisors (see below), whose sum is σ = 19301796. Its totient is φ = 9481248.

The previous prime is 13827061. The next prime is 13827067. The reversal of 13827065 is 56072831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8934121 + 4892944 = 2989^2 + 2212^2 .

It is not a de Polignac number, because 13827065 - 22 = 13827061 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13827061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27974 + ... + 28463.

It is an arithmetic number, because the mean of its divisors is an integer number (1608483).

Almost surely, 213827065 is an apocalyptic number.

It is an amenable number.

13827065 is a deficient number, since it is larger than the sum of its proper divisors (5474731).

13827065 is an equidigital number, since it uses as much as digits as its factorization.

13827065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56456 (or 56449 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 13827065 is about 3718.4761663886. The cubic root of 13827065 is about 240.0177359578.

Adding to 13827065 its reverse (56072831), we get a palindrome (69899896).

The spelling of 13827065 in words is "thirteen million, eight hundred twenty-seven thousand, sixty-five".

Divisors: 1 5 7 35 49 245 56437 282185 395059 1975295 2765413 13827065