The number 51480

Q: Is 51480 a prime number?

No. 51480 = 2^3 × 3^2 × 5 × 11 × 13, so it is divisible by 2.

51480 is a composite number with 96 divisors. Its prime factorisation is $2^{3}$ × $3^{2}$ × 5 × 11 × 13. Divisors (96): 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 15, 18, 20, 22 … 51480.

Number

Pick any whole number from 1 to 100,000.

51480 = 2^{3} \times 3^{2} \times 5 \times 11 \times 13

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How to work it out

1
What is special about 51480: a Harshad number: divisible by its digit sum 18.
2
51480 is composite. Its prime factorisation is
$51480 = 2^{3} \times 3^{2} \times 5 \times 11 \times 13$
3
The divisors add up to 196560; without 51480 itself that is 145080, so 51480 is abundant (145080 is more than 51480). Euler's totient φ(51480) = 11520 numbers up to 51480 share no factor with it.
4
The digits of 51480 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 78 steps to reach 1.

LaTeX source of the formulas on this page

\[ 51480 = 2^{3} \times 3^{2} \times 5 \times 11 \times 13 \]

51480 at a glance

Property	Value
Type	composite
Number of divisors	96
Sum of divisors	196560
Euler totient φ(n)	11520
Square	2650190400
Cube	136431801792000
Square root	226.892045 (= 6√1430)
Digit sum / digital root	18 / 9
Collatz steps to 1	78
Scientific notation	5.148 × $10^{4}$

51480 in other forms

Form	Value
In words	fifty-one thousand four hundred and eighty
Binary (base 2)	1100100100011000
Octal (base 8)	144430
Hexadecimal (base 16)	C918
Base 3	2121121200
As time	51480 seconds = 14 h 18 min 0 s

Is 51480 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (51480 ÷ 2 = 25740)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (51480 ÷ 3 = 17160)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (51480 ÷ 4 = 12870)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (51480 ÷ 5 = 10296)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (51480 ÷ 6 = 8580)	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	Yes (51480 ÷ 8 = 6435)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (51480 ÷ 9 = 5720)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (51480 ÷ 10 = 5148)	A number is divisible by 10 if the last digit is 0.
11	Yes (51480 ÷ 11 = 4680)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (51480 ÷ 12 = 4290)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 51480 a prime number?

No. 51480 = $2^{3}$ × $3^{2}$ × 5 × 11 × 13, so it is divisible by 2.

What are the factors of 51480?

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 15, 18, 20, 22, 24, 26, 30, 33, 36, 39, 40, 44, 45, 52, 55, 60, 65, 66, 72, 78, 88, 90, 99, 104, 110, 117, 120, 130, 132, 143, 156, 165, 180, 195, 198, 220, 234, 260, 264, 286, 312, 330, 360, 390, 396, 429, 440, 468, 495, 520, 572, 585, 660, 715, 780, 792, 858, 936, 990, 1144, 1170, 1287, 1320, 1430, 1560, 1716, 1980, 2145, 2340, 2574, 2860, 3432, 3960, 4290, 4680, 5148, 5720, 6435, 8580, 10296, 12870, 17160, 25740, 51480.

What is 51480 in binary?

1100100100011000 (hexadecimal C918, octal 144430).

What is the square root of 51480?

About 226.8920, exactly 6√1430.

Is 51480 divisible by 3?

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

What is special about the number 51480?

51480 is a Harshad number: divisible by its digit sum 18.