The number 67860

Q: Is 67860 a prime number?

No. 67860 = 2^2 × 3^2 × 5 × 13 × 29, so it is divisible by 2.

67860 is a composite number with 72 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × 5 × 13 × 29. Divisors (72): 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 29, 30 … 67860.

Number

Pick any whole number from 1 to 100,000.

67860 = 2^{2} \times 3^{2} \times 5 \times 13 \times 29

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How to work it out

1
67860 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
67860 is composite. Its prime factorisation is
$67860 = 2^{2} \times 3^{2} \times 5 \times 13 \times 29$
3
The divisors add up to 229320; without 67860 itself that is 161460, so 67860 is abundant (161460 is more than 67860). Euler's totient φ(67860) = 16128 numbers up to 67860 share no factor with it.
4
The digits of 67860 add up to 27, 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

\[ 67860 = 2^{2} \times 3^{2} \times 5 \times 13 \times 29 \]

67860 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	229320
Euler totient φ(n)	16128
Square	4604979600
Cube	312493915656000
Square root	260.499520 (= 6√1885)
Digit sum / digital root	27 / 9
Collatz steps to 1	112
Scientific notation	6.786 × $10^{4}$

67860 in other forms

Form	Value
In words	sixty-seven thousand eight hundred and sixty
Binary (base 2)	10000100100010100
Octal (base 8)	204424
Hexadecimal (base 16)	10914
Base 3	10110002100
As time	67860 seconds = 18 h 51 min 0 s

Is 67860 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (67860 ÷ 2 = 33930)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (67860 ÷ 3 = 22620)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (67860 ÷ 4 = 16965)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (67860 ÷ 5 = 13572)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (67860 ÷ 6 = 11310)	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	Yes (67860 ÷ 9 = 7540)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (67860 ÷ 10 = 6786)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 1)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (67860 ÷ 12 = 5655)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 67860 a prime number?

No. 67860 = $2^{2}$ × $3^{2}$ × 5 × 13 × 29, so it is divisible by 2.

What are the factors of 67860?

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 29, 30, 36, 39, 45, 52, 58, 60, 65, 78, 87, 90, 116, 117, 130, 145, 156, 174, 180, 195, 234, 260, 261, 290, 348, 377, 390, 435, 468, 522, 580, 585, 754, 780, 870, 1044, 1131, 1170, 1305, 1508, 1740, 1885, 2262, 2340, 2610, 3393, 3770, 4524, 5220, 5655, 6786, 7540, 11310, 13572, 16965, 22620, 33930, 67860.

What is 67860 in binary?

10000100100010100 (hexadecimal 10914, octal 204424).

What is the square root of 67860?

About 260.4995, exactly 6√1885.

Is 67860 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 67860?

It is a composite number with 72 divisors.