The number 84120
84120 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 701. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 84120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84120: a Harshad number: divisible by its digit sum 15.
- 2
84120 is composite. Its prime factorisation is
- 3
The divisors add up to 252720; without 84120 itself that is 168600, so 84120 is abundant (168600 is more than 84120). Euler's totient φ(84120) = 22400 numbers up to 84120 share no factor with it.
- 4
The digits of 84120 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 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84120 = 2^{3} \times 3 \times 5 \times 701 \]84120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 252720 |
| Euler totient φ(n) | 22400 |
| Square | 7076174400 |
| Cube | 595247790528000 |
| Square root | 290.034481 (= 2√21030) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.412 × |
84120 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand one hundred and twenty |
| Binary (base 2) | 10100100010011000 |
| Octal (base 8) | 244230 |
| Hexadecimal (base 16) | 14898 |
| Base 3 | 11021101120 |
| As time | 84120 seconds = 23 h 22 min 0 s |
Is 84120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84120 ÷ 2 = 42060) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (84120 ÷ 3 = 28040) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (84120 ÷ 4 = 21030) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (84120 ÷ 5 = 16824) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (84120 ÷ 6 = 14020) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (84120 ÷ 8 = 10515) | 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 (84120 ÷ 10 = 8412) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (84120 ÷ 12 = 7010) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84120 a prime number?
No. 84120 = × 3 × 5 × 701, so it is divisible by 2.
What are the factors of 84120?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 701, 1402, 2103, 2804, 3505, 4206, 5608, 7010, 8412, 10515, 14020, 16824, 21030, 28040, 42060, 84120.
What is 84120 in binary?
10100100010011000 (hexadecimal 14898, octal 244230).
What is the square root of 84120?
About 290.0345, exactly 2√21030.
Is 84120 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 84120?
84120 is a Harshad number: divisible by its digit sum 15.