The number 88020
88020 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 163. Divisors (48): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45 … 88020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88020: a Harshad number: divisible by its digit sum 18.
- 2
88020 is composite. Its prime factorisation is
- 3
The divisors add up to 275520; without 88020 itself that is 187500, so 88020 is abundant (187500 is more than 88020). Euler's totient φ(88020) = 23328 numbers up to 88020 share no factor with it.
- 4
The digits of 88020 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88020 = 2^{2} \times 3^{3} \times 5 \times 163 \]88020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 275520 |
| Euler totient φ(n) | 23328 |
| Square | 7747520400 |
| Cube | 681936745608000 |
| Square root | 296.681648 (= 6√2445) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.802 × |
88020 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and twenty |
| Binary (base 2) | 10101011111010100 |
| Octal (base 8) | 253724 |
| Hexadecimal (base 16) | 157D4 |
| Base 3 | 11110202000 |
| As time | 88020 seconds = 24 h 27 min 0 s |
Is 88020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88020 ÷ 2 = 44010) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88020 ÷ 3 = 29340) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (88020 ÷ 4 = 22005) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (88020 ÷ 5 = 17604) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (88020 ÷ 6 = 14670) | 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 (88020 ÷ 9 = 9780) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (88020 ÷ 10 = 8802) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (88020 ÷ 12 = 7335) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88020 a prime number?
No. 88020 = × × 5 × 163, so it is divisible by 2.
What are the factors of 88020?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 163, 180, 270, 326, 489, 540, 652, 815, 978, 1467, 1630, 1956, 2445, 2934, 3260, 4401, 4890, 5868, 7335, 8802, 9780, 14670, 17604, 22005, 29340, 44010, 88020.
What is 88020 in binary?
10101011111010100 (hexadecimal 157D4, octal 253724).
What is the square root of 88020?
About 296.6816, exactly 6√2445.
Is 88020 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 88020?
88020 is a Harshad number: divisible by its digit sum 18.