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27393 = 323397
BaseRepresentation
bin110101100000001
31101120120
412230001
51334033
6330453
7142602
oct65401
941516
1027393
1119643
1213a29
13c612
149da9
1581b3
hex6b01

27393 has 8 divisors (see below), whose sum is σ = 38208. Its totient is φ = 17424.

The previous prime is 27367. The next prime is 27397. The reversal of 27393 is 39372.

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

It is not a de Polignac number, because 27393 - 25 = 27361 is a prime.

It is a Curzon number.

27393 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27397) 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, 130 + ... + 267.

It is an arithmetic number, because the mean of its divisors is an integer number (4776).

It is a Proth number, since it is equal to 107 ⋅ 28 + 1 and 107 < 28.

227393 is an apocalyptic number.

27393 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

27393 is a deficient number, since it is larger than the sum of its proper divisors (10815).

27393 is a wasteful number, since it uses less digits than its factorization.

27393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423.

The product of its digits is 1134, while the sum is 24.

The square root of 27393 is about 165.5083079486. The cubic root of 27393 is about 30.1448549975.

The spelling of 27393 in words is "twenty-seven thousand, three hundred ninety-three".

Divisors: 1 3 23 69 397 1191 9131 27393