The number 82140

Q: Is 82140 a prime number?

No. 82140 = 2^2 × 3 × 5 × 37^2, so it is divisible by 2.

82140 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × $37^{2}$ . Divisors (36): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148 … 82140.

Number

Pick any whole number from 1 to 100,000.

82140 = 2^{2} \times 3 \times 5 \times 37^{2}

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How to work it out

1
What is special about 82140: a Harshad number: divisible by its digit sum 15.
2
82140 is composite. Its prime factorisation is
$82140 = 2^{2} \times 3 \times 5 \times 37^{2}$
3
The divisors add up to 236376; without 82140 itself that is 154236, so 82140 is abundant (154236 is more than 82140). Euler's totient φ(82140) = 21312 numbers up to 82140 share no factor with it.
4
The digits of 82140 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 151 steps to reach 1.

LaTeX source of the formulas on this page

\[ 82140 = 2^{2} \times 3 \times 5 \times 37^{2} \]

82140 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	236376
Euler totient φ(n)	21312
Square	6746979600
Cube	554196904344000
Square root	286.600768 (= 74√15)
Digit sum / digital root	15 / 6
Collatz steps to 1	151
Scientific notation	8.214 × $10^{4}$

82140 in other forms

Form	Value
In words	eighty-two thousand one hundred and forty
Binary (base 2)	10100000011011100
Octal (base 8)	240334
Hexadecimal (base 16)	140DC
Base 3	11011200020
As time	82140 seconds = 22 h 49 min 0 s

Is 82140 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (82140 ÷ 2 = 41070)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (82140 ÷ 3 = 27380)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (82140 ÷ 4 = 20535)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (82140 ÷ 5 = 16428)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (82140 ÷ 6 = 13690)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 2)	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 (82140 ÷ 10 = 8214)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 3)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (82140 ÷ 12 = 6845)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 82140 a prime number?

No. 82140 = $2^{2}$ × 3 × 5 × $37^{2}$ , so it is divisible by 2.

What are the factors of 82140?

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110, 1369, 2220, 2738, 4107, 5476, 6845, 8214, 13690, 16428, 20535, 27380, 41070, 82140.

What is 82140 in binary?

10100000011011100 (hexadecimal 140DC, octal 240334).

What is the square root of 82140?

About 286.6008, exactly 74√15.

Is 82140 divisible by 3?

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

What is special about the number 82140?

82140 is a Harshad number: divisible by its digit sum 15.