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27144 = 23321329
BaseRepresentation
bin110101000001000
31101020100
412220020
51332034
6325400
7142065
oct65010
941210
1027144
1119437
1213860
13c480
149c6c
158099
hex6a08

27144 has 48 divisors (see below), whose sum is σ = 81900. Its totient is φ = 8064.

The previous prime is 27143. The next prime is 27179. The reversal of 27144 is 44172.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26244 + 900 = 162^2 + 30^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (27143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 922 + ... + 950.

227144 is an apocalyptic number.

27144 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 27144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40950).

27144 is an abundant number, since it is smaller than the sum of its proper divisors (54756).

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

27144 is a wasteful number, since it uses less digits than its factorization.

27144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 47 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 27144 is about 164.7543626130. The cubic root of 27144 is about 30.0532387985.

It can be divided in two parts, 27 and 144, that added together give a palindrome (171).

The spelling of 27144 in words is "twenty-seven thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 29 36 39 52 58 72 78 87 104 116 117 156 174 232 234 261 312 348 377 468 522 696 754 936 1044 1131 1508 2088 2262 3016 3393 4524 6786 9048 13572 27144