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27003213 = 34389857
BaseRepresentation
bin110011100000…
…0100101001101
31212210220110000
41213000211031
523403100323
62402434513
7445344366
oct147004515
955726400
1027003213
1114273a06
129062a39
135795c43
14382cb6d
152585e43
hex19c094d

27003213 has 20 divisors (see below), whose sum is σ = 40489020. Its totient is φ = 17934912.

The previous prime is 27003203. The next prime is 27003241. The reversal of 27003213 is 31230072.

It can be written as a sum of positive squares in 2 ways, for example, as 16621929 + 10381284 = 4077^2 + 3222^2 .

It is not a de Polignac number, because 27003213 - 25 = 27003181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27003203) 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 19 ways as a sum of consecutive naturals, for example, 31081 + ... + 31937.

It is an arithmetic number, because the mean of its divisors is an integer number (2024451).

Almost surely, 227003213 is an apocalyptic number.

It is an amenable number.

27003213 is a deficient number, since it is larger than the sum of its proper divisors (13485807).

27003213 is an equidigital number, since it uses as much as digits as its factorization.

27003213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 27003213 is about 5196.4615845785. The cubic root of 27003213 is about 300.0118995280.

Adding to 27003213 its reverse (31230072), we get a palindrome (58233285).

The spelling of 27003213 in words is "twenty-seven million, three thousand, two hundred thirteen".

Divisors: 1 3 9 27 81 389 857 1167 2571 3501 7713 10503 23139 31509 69417 333373 1000119 3000357 9001071 27003213