The number 15040
15040 is a composite number with 28 divisors. Its prime factorisation is × 5 × 47. Divisors (28): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 64, 80, 94, 160, 188 … 15040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15040: a Harshad number: divisible by its digit sum 10.
- 2
15040 is composite. Its prime factorisation is
- 3
The divisors add up to 36576; without 15040 itself that is 21536, so 15040 is abundant (21536 is more than 15040). Euler's totient φ(15040) = 5888 numbers up to 15040 share no factor with it.
- 4
The digits of 15040 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15040 = 2^{6} \times 5 \times 47 \]15040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 36576 |
| Euler totient φ(n) | 5888 |
| Square | 226201600 |
| Cube | 3402072064000 |
| Square root | 122.637678 (= 8√235) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.504 × |
15040 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand and forty |
| Binary (base 2) | 11101011000000 |
| Octal (base 8) | 35300 |
| Hexadecimal (base 16) | 3AC0 |
| Base 3 | 202122001 |
| As time | 15040 seconds = 4 h 10 min 40 s |
Is 15040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15040 ÷ 2 = 7520) | 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 (15040 ÷ 4 = 3760) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (15040 ÷ 5 = 3008) | 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 4) | 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 (15040 ÷ 8 = 1880) | 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 (15040 ÷ 10 = 1504) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 15040 a prime number?
No. 15040 = × 5 × 47, so it is divisible by 2.
What are the factors of 15040?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 64, 80, 94, 160, 188, 235, 320, 376, 470, 752, 940, 1504, 1880, 3008, 3760, 7520, 15040.
What is 15040 in binary?
11101011000000 (hexadecimal 3AC0, octal 35300).
What is the square root of 15040?
About 122.6377, exactly 8√235.
Is 15040 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 15040?
15040 is a Harshad number: divisible by its digit sum 10.