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27384 = 2337163
BaseRepresentation
bin110101011111000
31101120020
412223320
51334014
6330440
7142560
oct65370
941506
1027384
1119635
1213a20
13c606
149da0
1581a9
hex6af8

27384 has 32 divisors (see below), whose sum is σ = 78720. Its totient is φ = 7776.

The previous prime is 27367. The next prime is 27397. The reversal of 27384 is 48372.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is an unprimeable number.

27384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87 + ... + 249.

It is an arithmetic number, because the mean of its divisors is an integer number (2460).

227384 is an apocalyptic number.

27384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39360).

27384 is an abundant number, since it is smaller than the sum of its proper divisors (51336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27384 is a wasteful number, since it uses less digits than its factorization.

27384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 27384 is about 165.4811167475. The cubic root of 27384 is about 30.1415532609.

The spelling of 27384 in words is "twenty-seven thousand, three hundred eighty-four".