The number 70120
70120 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1753. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1753, 3506, 7012, 8765, 14024, 17530, 35060, 70120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 70120: a Harshad number: divisible by its digit sum 10.
- 2
70120 is composite. Its prime factorisation is
- 3
The divisors add up to 157860; without 70120 itself that is 87740, so 70120 is abundant (87740 is more than 70120). Euler's totient φ(70120) = 28032 numbers up to 70120 share no factor with it.
- 4
The digits of 70120 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 70120 = 2^{3} \times 5 \times 1753 \]70120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 157860 |
| Euler totient φ(n) | 28032 |
| Square | 4916814400 |
| Cube | 344767025728000 |
| Square root | 264.801813 (= 2√17530) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.012 × |
70120 in other forms
| Form | Value |
|---|---|
| In words | seventy thousand one hundred and twenty |
| Binary (base 2) | 10001000111101000 |
| Octal (base 8) | 210750 |
| Hexadecimal (base 16) | 111E8 |
| Base 3 | 10120012001 |
| As time | 70120 seconds = 19 h 28 min 40 s |
Is 70120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (70120 ÷ 2 = 35060) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (70120 ÷ 4 = 17530) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (70120 ÷ 5 = 14024) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 (70120 ÷ 8 = 8765) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (70120 ÷ 10 = 7012) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 70120 a prime number?
No. 70120 = × 5 × 1753, so it is divisible by 2.
What are the factors of 70120?
1, 2, 4, 5, 8, 10, 20, 40, 1753, 3506, 7012, 8765, 14024, 17530, 35060, 70120.
What is 70120 in binary?
10001000111101000 (hexadecimal 111E8, octal 210750).
What is the square root of 70120?
About 264.8018, exactly 2√17530.
Is 70120 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 70120?
70120 is a Harshad number: divisible by its digit sum 10.