The number 67320

Q: Is 67320 a prime number?

No. 67320 = 2^3 × 3^2 × 5 × 11 × 17, so it is divisible by 2.

67320 is a composite number with 96 divisors. Its prime factorisation is $2^{3}$ × $3^{2}$ × 5 × 11 × 17. Divisors (96): 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 17, 18, 20, 22 … 67320.

Number

Pick any whole number from 1 to 100,000.

67320 = 2^{3} \times 3^{2} \times 5 \times 11 \times 17

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How to work it out

1
What is special about 67320: a Harshad number: divisible by its digit sum 18.
2
67320 is composite. Its prime factorisation is
$67320 = 2^{3} \times 3^{2} \times 5 \times 11 \times 17$
3
The divisors add up to 252720; without 67320 itself that is 185400, so 67320 is abundant (185400 is more than 67320). Euler's totient φ(67320) = 15360 numbers up to 67320 share no factor with it.
4
The digits of 67320 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.

LaTeX source of the formulas on this page

\[ 67320 = 2^{3} \times 3^{2} \times 5 \times 11 \times 17 \]

67320 at a glance

Property	Value
Type	composite
Number of divisors	96
Sum of divisors	252720
Euler totient φ(n)	15360
Square	4531982400
Cube	305093055168000
Square root	259.460980 (= 6√1870)
Digit sum / digital root	18 / 9
Collatz steps to 1	112
Scientific notation	6.732 × $10^{4}$

67320 in other forms

Form	Value
In words	sixty-seven thousand three hundred and twenty
Binary (base 2)	10000011011111000
Octal (base 8)	203370
Hexadecimal (base 16)	106F8
Base 3	10102100100
As time	67320 seconds = 18 h 42 min 0 s

Is 67320 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (67320 ÷ 2 = 33660)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (67320 ÷ 3 = 22440)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (67320 ÷ 4 = 16830)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (67320 ÷ 5 = 13464)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (67320 ÷ 6 = 11220)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 1)	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	Yes (67320 ÷ 8 = 8415)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (67320 ÷ 9 = 7480)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (67320 ÷ 10 = 6732)	A number is divisible by 10 if the last digit is 0.
11	Yes (67320 ÷ 11 = 6120)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (67320 ÷ 12 = 5610)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 67320 a prime number?

No. 67320 = $2^{3}$ × $3^{2}$ × 5 × 11 × 17, so it is divisible by 2.

What are the factors of 67320?

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 17, 18, 20, 22, 24, 30, 33, 34, 36, 40, 44, 45, 51, 55, 60, 66, 68, 72, 85, 88, 90, 99, 102, 110, 120, 132, 136, 153, 165, 170, 180, 187, 198, 204, 220, 255, 264, 306, 330, 340, 360, 374, 396, 408, 440, 495, 510, 561, 612, 660, 680, 748, 765, 792, 935, 990, 1020, 1122, 1224, 1320, 1496, 1530, 1683, 1870, 1980, 2040, 2244, 2805, 3060, 3366, 3740, 3960, 4488, 5610, 6120, 6732, 7480, 8415, 11220, 13464, 16830, 22440, 33660, 67320.

What is 67320 in binary?

10000011011111000 (hexadecimal 106F8, octal 203370).

What is the square root of 67320?

About 259.4610, exactly 6√1870.

Is 67320 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 67320?

67320 is a Harshad number: divisible by its digit sum 18.