The number 35040
35040 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 73. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40 … 35040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35040: a Harshad number: divisible by its digit sum 12.
- 2
35040 is composite. Its prime factorisation is
- 3
The divisors add up to 111888; without 35040 itself that is 76848, so 35040 is abundant (76848 is more than 35040). Euler's totient φ(35040) = 9216 numbers up to 35040 share no factor with it.
- 4
The digits of 35040 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35040 = 2^{5} \times 3 \times 5 \times 73 \]35040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 111888 |
| Euler totient φ(n) | 9216 |
| Square | 1227801600 |
| Cube | 43022168064000 |
| Square root | 187.189743 (= 4√2190) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.504 × |
35040 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and forty |
| Binary (base 2) | 1000100011100000 |
| Octal (base 8) | 104340 |
| Hexadecimal (base 16) | 88E0 |
| Base 3 | 1210001210 |
| As time | 35040 seconds = 9 h 44 min 0 s |
Is 35040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35040 ÷ 2 = 17520) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35040 ÷ 3 = 11680) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35040 ÷ 4 = 8760) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35040 ÷ 5 = 7008) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (35040 ÷ 6 = 5840) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (35040 ÷ 8 = 4380) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (35040 ÷ 10 = 3504) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (35040 ÷ 12 = 2920) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35040 a prime number?
No. 35040 = × 3 × 5 × 73, so it is divisible by 2.
What are the factors of 35040?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 73, 80, 96, 120, 146, 160, 219, 240, 292, 365, 438, 480, 584, 730, 876, 1095, 1168, 1460, 1752, 2190, 2336, 2920, 3504, 4380, 5840, 7008, 8760, 11680, 17520, 35040.
What is 35040 in binary?
1000100011100000 (hexadecimal 88E0, octal 104340).
What is the square root of 35040?
About 187.1897, exactly 4√2190.
Is 35040 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 35040?
35040 is a Harshad number: divisible by its digit sum 12.