The number 27060

Q: Is 27060 a prime number?

No. 27060 = 2^2 × 3 × 5 × 11 × 41, so it is divisible by 2.

27060 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 11 × 41. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 41, 44 … 27060.

Number

Pick any whole number from 1 to 100,000.

27060 = 2^{2} \times 3 \times 5 \times 11 \times 41

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How to work it out

1
What is special about 27060: a Harshad number: divisible by its digit sum 15.
2
27060 is composite. Its prime factorisation is
$27060 = 2^{2} \times 3 \times 5 \times 11 \times 41$
3
The divisors add up to 84672; without 27060 itself that is 57612, so 27060 is abundant (57612 is more than 27060). Euler's totient φ(27060) = 6400 numbers up to 27060 share no factor with it.
4
The digits of 27060 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.

LaTeX source of the formulas on this page

\[ 27060 = 2^{2} \times 3 \times 5 \times 11 \times 41 \]

27060 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	84672
Euler totient φ(n)	6400
Square	732243600
Cube	19814511816000
Square root	164.499240 (= 2√6765)
Digit sum / digital root	15 / 6
Collatz steps to 1	139
Scientific notation	2.706 × $10^{4}$

27060 in other forms

Form	Value
In words	twenty-seven thousand and sixty
Binary (base 2)	110100110110100
Octal (base 8)	64664
Hexadecimal (base 16)	69B4
Base 3	1101010020
As time	27060 seconds = 7 h 31 min 0 s

Is 27060 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (27060 ÷ 2 = 13530)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (27060 ÷ 3 = 9020)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (27060 ÷ 4 = 6765)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (27060 ÷ 5 = 5412)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (27060 ÷ 6 = 4510)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 5)	A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8	No (remainder 4)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 6)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (27060 ÷ 10 = 2706)	A number is divisible by 10 if the last digit is 0.
11	Yes (27060 ÷ 11 = 2460)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (27060 ÷ 12 = 2255)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 27060 a prime number?

No. 27060 = $2^{2}$ × 3 × 5 × 11 × 41, so it is divisible by 2.

What are the factors of 27060?

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 41, 44, 55, 60, 66, 82, 110, 123, 132, 164, 165, 205, 220, 246, 330, 410, 451, 492, 615, 660, 820, 902, 1230, 1353, 1804, 2255, 2460, 2706, 4510, 5412, 6765, 9020, 13530, 27060.

What is 27060 in binary?

110100110110100 (hexadecimal 69B4, octal 64664).

What is the square root of 27060?

About 164.4992, exactly 2√6765.

Is 27060 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 27060?

27060 is a Harshad number: divisible by its digit sum 15.