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27363 = 371303
BaseRepresentation
bin110101011100011
31101112110
412223203
51333423
6330403
7142530
oct65343
941473
1027363
1119616
1213a03
13c5bb
149d87
158193
hex6ae3

27363 has 8 divisors (see below), whose sum is σ = 41728. Its totient is φ = 15624.

The previous prime is 27361. The next prime is 27367. The reversal of 27363 is 36372.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 27363 - 21 = 27361 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 1303 = 27363 / (2 + 7 + 3 + 6 + 3).

It is a d-powerful number, because it can be written as 29 + 75 + 37 + 64 + 38 .

It is a Duffinian number.

27363 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (27361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 631 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (5216).

227363 is an apocalyptic number.

27363 is a deficient number, since it is larger than the sum of its proper divisors (14365).

27363 is a wasteful number, since it uses less digits than its factorization.

27363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313.

The product of its digits is 756, while the sum is 21.

The square root of 27363 is about 165.4176532296. The cubic root of 27363 is about 30.1338463944.

Subtracting 27363 from its reverse (36372), we obtain a palindrome (9009).

It can be divided in two parts, 27 and 363, that multiplied together give a square (9801 = 992).

The spelling of 27363 in words is "twenty-seven thousand, three hundred sixty-three".

Divisors: 1 3 7 21 1303 3909 9121 27363