The number 97040
97040 is a composite number with 20 divisors. Its prime factorisation is × 5 × 1213. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1213, 2426, 4852, 6065, 9704, 12130 … 97040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97040: a Harshad number: divisible by its digit sum 20.
- 2
97040 is composite. Its prime factorisation is
- 3
The divisors add up to 225804; without 97040 itself that is 128764, so 97040 is abundant (128764 is more than 97040). Euler's totient φ(97040) = 38784 numbers up to 97040 share no factor with it.
- 4
The digits of 97040 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97040 = 2^{4} \times 5 \times 1213 \]97040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 225804 |
| Euler totient φ(n) | 38784 |
| Square | 9416761600 |
| Cube | 913802545664000 |
| Square root | 311.512440 (= 4√6065) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 27 |
| Scientific notation | 9.704 × |
97040 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and forty |
| Binary (base 2) | 10111101100010000 |
| Octal (base 8) | 275420 |
| Hexadecimal (base 16) | 17B10 |
| Base 3 | 11221010002 |
| As time | 97040 seconds = 26 h 57 min 20 s |
Is 97040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97040 ÷ 2 = 48520) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97040 ÷ 4 = 24260) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (97040 ÷ 5 = 19408) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (97040 ÷ 8 = 12130) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (97040 ÷ 10 = 9704) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97040 a prime number?
No. 97040 = × 5 × 1213, so it is divisible by 2.
What are the factors of 97040?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1213, 2426, 4852, 6065, 9704, 12130, 19408, 24260, 48520, 97040.
What is 97040 in binary?
10111101100010000 (hexadecimal 17B10, octal 275420).
What is the square root of 97040?
About 311.5124, exactly 4√6065.
Is 97040 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 97040?
97040 is a Harshad number: divisible by its digit sum 20.