The number 80520

Q: Is 80520 a prime number?

No. 80520 = 2^3 × 3 × 5 × 11 × 61, so it is divisible by 2.

80520 is a composite number with 64 divisors. Its prime factorisation is $2^{3}$ × 3 × 5 × 11 × 61. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33 … 80520.

Number

Pick any whole number from 1 to 100,000.

80520 = 2^{3} \times 3 \times 5 \times 11 \times 61

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How to work it out

1
What is special about 80520: a Harshad number: divisible by its digit sum 15.
2
80520 is composite. Its prime factorisation is
$80520 = 2^{3} \times 3 \times 5 \times 11 \times 61$
3
The divisors add up to 267840; without 80520 itself that is 187320, so 80520 is abundant (187320 is more than 80520). Euler's totient φ(80520) = 19200 numbers up to 80520 share no factor with it.
4
The digits of 80520 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 45 steps to reach 1.

LaTeX source of the formulas on this page

\[ 80520 = 2^{3} \times 3 \times 5 \times 11 \times 61 \]

80520 at a glance

Property	Value
Type	composite
Number of divisors	64
Sum of divisors	267840
Euler totient φ(n)	19200
Square	6483470400
Cube	522049036608000
Square root	283.760462 (= 2√20130)
Digit sum / digital root	15 / 6
Collatz steps to 1	45
Scientific notation	8.052 × $10^{4}$

80520 in other forms

Form	Value
In words	eighty thousand five hundred and twenty
Binary (base 2)	10011101010001000
Octal (base 8)	235210
Hexadecimal (base 16)	13A88
Base 3	11002110020
As time	80520 seconds = 22 h 22 min 0 s

Is 80520 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (80520 ÷ 2 = 40260)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (80520 ÷ 3 = 26840)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (80520 ÷ 4 = 20130)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (80520 ÷ 5 = 16104)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (80520 ÷ 6 = 13420)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 6)	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 (80520 ÷ 8 = 10065)	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 (80520 ÷ 10 = 8052)	A number is divisible by 10 if the last digit is 0.
11	Yes (80520 ÷ 11 = 7320)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (80520 ÷ 12 = 6710)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 80520 a prime number?

No. 80520 = $2^{3}$ × 3 × 5 × 11 × 61, so it is divisible by 2.

What are the factors of 80520?

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 61, 66, 88, 110, 120, 122, 132, 165, 183, 220, 244, 264, 305, 330, 366, 440, 488, 610, 660, 671, 732, 915, 1220, 1320, 1342, 1464, 1830, 2013, 2440, 2684, 3355, 3660, 4026, 5368, 6710, 7320, 8052, 10065, 13420, 16104, 20130, 26840, 40260, 80520.

What is 80520 in binary?

10011101010001000 (hexadecimal 13A88, octal 235210).

What is the square root of 80520?

About 283.7605, exactly 2√20130.

Is 80520 divisible by 3?

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

What is special about the number 80520?

80520 is a Harshad number: divisible by its digit sum 15.