The number 40880
40880 is a composite number with 40 divisors. Its prime factorisation is × 5 × 7 × 73. Divisors (40): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 73 … 40880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40880: a Harshad number: divisible by its digit sum 20.
- 2
40880 is composite. Its prime factorisation is
- 3
The divisors add up to 110112; without 40880 itself that is 69232, so 40880 is abundant (69232 is more than 40880). Euler's totient φ(40880) = 13824 numbers up to 40880 share no factor with it.
- 4
The digits of 40880 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40880 = 2^{4} \times 5 \times 7 \times 73 \]40880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 110112 |
| Euler totient φ(n) | 13824 |
| Square | 1671174400 |
| Cube | 68317609472000 |
| Square root | 202.188031 (= 4√2555) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 62 |
| Scientific notation | 4.088 × |
40880 in other forms
| Form | Value |
|---|---|
| In words | forty thousand eight hundred and eighty |
| Binary (base 2) | 1001111110110000 |
| Octal (base 8) | 117660 |
| Hexadecimal (base 16) | 9FB0 |
| Base 3 | 2002002002 |
| As time | 40880 seconds = 11 h 21 min 20 s |
Is 40880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40880 ÷ 2 = 20440) | 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 (40880 ÷ 4 = 10220) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40880 ÷ 5 = 8176) | 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 | Yes (40880 ÷ 7 = 5840) | 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 (40880 ÷ 8 = 5110) | 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 (40880 ÷ 10 = 4088) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 40880 a prime number?
No. 40880 = × 5 × 7 × 73, so it is divisible by 2.
What are the factors of 40880?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 73, 80, 112, 140, 146, 280, 292, 365, 511, 560, 584, 730, 1022, 1168, 1460, 2044, 2555, 2920, 4088, 5110, 5840, 8176, 10220, 20440, 40880.
What is 40880 in binary?
1001111110110000 (hexadecimal 9FB0, octal 117660).
What is the square root of 40880?
About 202.1880, exactly 4√2555.
Is 40880 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 40880?
40880 is a Harshad number: divisible by its digit sum 20.