The number 76020

Q: Is 76020 a prime number?

No. 76020 = 2^2 × 3 × 5 × 7 × 181, so it is divisible by 2.

76020 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 7 × 181. Divisors (48): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35 … 76020.

Number

Pick any whole number from 1 to 100,000.

76020 = 2^{2} \times 3 \times 5 \times 7 \times 181

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How to work it out

1
What is special about 76020: a Harshad number: divisible by its digit sum 15.
2
76020 is composite. Its prime factorisation is
$76020 = 2^{2} \times 3 \times 5 \times 7 \times 181$
3
The divisors add up to 244608; without 76020 itself that is 168588, so 76020 is abundant (168588 is more than 76020). Euler's totient φ(76020) = 17280 numbers up to 76020 share no factor with it.
4
The digits of 76020 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 169 steps to reach 1.

LaTeX source of the formulas on this page

\[ 76020 = 2^{2} \times 3 \times 5 \times 7 \times 181 \]

76020 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	244608
Euler totient φ(n)	17280
Square	5779040400
Cube	439322651208000
Square root	275.717246 (= 2√19005)
Digit sum / digital root	15 / 6
Collatz steps to 1	169
Scientific notation	7.602 × $10^{4}$

76020 in other forms

Form	Value
In words	seventy-six thousand and twenty
Binary (base 2)	10010100011110100
Octal (base 8)	224364
Hexadecimal (base 16)	128F4
Base 3	10212021120
As time	76020 seconds = 21 h 7 min 0 s

Is 76020 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (76020 ÷ 2 = 38010)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (76020 ÷ 3 = 25340)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (76020 ÷ 4 = 19005)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (76020 ÷ 5 = 15204)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (76020 ÷ 6 = 12670)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (76020 ÷ 7 = 10860)	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 (76020 ÷ 10 = 7602)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 10)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (76020 ÷ 12 = 6335)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 76020 a prime number?

No. 76020 = $2^{2}$ × 3 × 5 × 7 × 181, so it is divisible by 2.

What are the factors of 76020?

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 181, 210, 362, 420, 543, 724, 905, 1086, 1267, 1810, 2172, 2534, 2715, 3620, 3801, 5068, 5430, 6335, 7602, 10860, 12670, 15204, 19005, 25340, 38010, 76020.

What is 76020 in binary?

10010100011110100 (hexadecimal 128F4, octal 224364).

What is the square root of 76020?

About 275.7172, exactly 2√19005.

Is 76020 divisible by 3?

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

What is special about the number 76020?

76020 is a Harshad number: divisible by its digit sum 15.