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27906129 = 3217210729
BaseRepresentation
bin110101001110…
…1000001010001
31221111210000100
41222131001101
524120444004
62434043013
7456124656
oct152350121
957453010
1027906129
1114830319
129419469
135a20c04
1439c5c2d
1526b3739
hex1a9d051

27906129 has 18 divisors (see below), whose sum is σ = 42823430. Its totient is φ = 17508096.

The previous prime is 27906127. The next prime is 27906133. The reversal of 27906129 is 92160972.

It can be written as a sum of positive squares in 3 ways, for example, as 14837904 + 13068225 = 3852^2 + 3615^2 .

It is not a de Polignac number, because 27906129 - 21 = 27906127 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27906093 and 27906102.

It is not an unprimeable number, because it can be changed into a prime (27906127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2764 + ... + 7965.

Almost surely, 227906129 is an apocalyptic number.

It is an amenable number.

27906129 is a deficient number, since it is larger than the sum of its proper divisors (14917301).

27906129 is a wasteful number, since it uses less digits than its factorization.

27906129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10769 (or 10749 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 27906129 is about 5282.6251996522. The cubic root of 27906129 is about 303.3191748279.

The spelling of 27906129 in words is "twenty-seven million, nine hundred six thousand, one hundred twenty-nine".

Divisors: 1 3 9 17 51 153 289 867 2601 10729 32187 96561 182393 547179 1641537 3100681 9302043 27906129