The number 70080
70080 is a composite number with 56 divisors. Its prime factorisation is × 3 × 5 × 73. Divisors (56): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40 … 70080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 70080: a Harshad number: divisible by its digit sum 15.
- 2
70080 is composite. Its prime factorisation is
- 3
The divisors add up to 225552; without 70080 itself that is 155472, so 70080 is abundant (155472 is more than 70080). Euler's totient φ(70080) = 18432 numbers up to 70080 share no factor with it.
- 4
The digits of 70080 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 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 70080 = 2^{6} \times 3 \times 5 \times 73 \]70080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 225552 |
| Euler totient φ(n) | 18432 |
| Square | 4911206400 |
| Cube | 344177344512000 |
| Square root | 264.726274 (= 8√1095) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.008 × |
70080 in other forms
| Form | Value |
|---|---|
| In words | seventy thousand and eighty |
| Binary (base 2) | 10001000111000000 |
| Octal (base 8) | 210700 |
| Hexadecimal (base 16) | 111C0 |
| Base 3 | 10120010120 |
| As time | 70080 seconds = 19 h 28 min 0 s |
Is 70080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (70080 ÷ 2 = 35040) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (70080 ÷ 3 = 23360) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (70080 ÷ 4 = 17520) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (70080 ÷ 5 = 14016) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (70080 ÷ 6 = 11680) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (70080 ÷ 8 = 8760) | 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 (70080 ÷ 10 = 7008) | 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 (70080 ÷ 12 = 5840) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 70080 a prime number?
No. 70080 = × 3 × 5 × 73, so it is divisible by 2.
What are the factors of 70080?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 73, 80, 96, 120, 146, 160, 192, 219, 240, 292, 320, 365, 438, 480, 584, 730, 876, 960, 1095, 1168, 1460, 1752, 2190, 2336, 2920, 3504, 4380, 4672, 5840, 7008, 8760, 11680, 14016, 17520, 23360, 35040, 70080.
What is 70080 in binary?
10001000111000000 (hexadecimal 111C0, octal 210700).
What is the square root of 70080?
About 264.7263, exactly 8√1095.
Is 70080 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 70080?
70080 is a Harshad number: divisible by its digit sum 15.