The number 73140

Q: Is 73140 a prime number?

No. 73140 = 2^2 × 3 × 5 × 23 × 53, so it is divisible by 2.

73140 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 23 × 53. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 53, 60, 69 … 73140.

Number

Pick any whole number from 1 to 100,000.

73140 = 2^{2} \times 3 \times 5 \times 23 \times 53

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How to work it out

1
What is special about 73140: a Harshad number: divisible by its digit sum 15.
2
73140 is composite. Its prime factorisation is
$73140 = 2^{2} \times 3 \times 5 \times 23 \times 53$
3
The divisors add up to 217728; without 73140 itself that is 144588, so 73140 is abundant (144588 is more than 73140). Euler's totient φ(73140) = 18304 numbers up to 73140 share no factor with it.
4
The digits of 73140 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 63 steps to reach 1.

LaTeX source of the formulas on this page

\[ 73140 = 2^{2} \times 3 \times 5 \times 23 \times 53 \]

73140 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	217728
Euler totient φ(n)	18304
Square	5349459600
Cube	391259475144000
Square root	270.444079 (= 2√18285)
Digit sum / digital root	15 / 6
Collatz steps to 1	63
Scientific notation	7.314 × $10^{4}$

73140 in other forms

Form	Value
In words	seventy-three thousand one hundred and forty
Binary (base 2)	10001110110110100
Octal (base 8)	216664
Hexadecimal (base 16)	11DB4
Base 3	10201022220
As time	73140 seconds = 20 h 19 min 0 s

Is 73140 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (73140 ÷ 2 = 36570)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (73140 ÷ 3 = 24380)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (73140 ÷ 4 = 18285)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (73140 ÷ 5 = 14628)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (73140 ÷ 6 = 12190)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 4)	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 (73140 ÷ 10 = 7314)	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 (73140 ÷ 12 = 6095)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 73140 a prime number?

No. 73140 = $2^{2}$ × 3 × 5 × 23 × 53, so it is divisible by 2.

What are the factors of 73140?

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 53, 60, 69, 92, 106, 115, 138, 159, 212, 230, 265, 276, 318, 345, 460, 530, 636, 690, 795, 1060, 1219, 1380, 1590, 2438, 3180, 3657, 4876, 6095, 7314, 12190, 14628, 18285, 24380, 36570, 73140.

What is 73140 in binary?

10001110110110100 (hexadecimal 11DB4, octal 216664).

What is the square root of 73140?

About 270.4441, exactly 2√18285.

Is 73140 divisible by 3?

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

What is special about the number 73140?

73140 is a Harshad number: divisible by its digit sum 15.