The number 16740
16740 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 31. Divisors (48): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 31, 36 … 16740.
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How to work it out
- 1
What is special about 16740: a Harshad number: divisible by its digit sum 18.
- 2
16740 is composite. Its prime factorisation is
- 3
The divisors add up to 53760; without 16740 itself that is 37020, so 16740 is abundant (37020 is more than 16740). Euler's totient φ(16740) = 4320 numbers up to 16740 share no factor with it.
- 4
The digits of 16740 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16740 = 2^{2} \times 3^{3} \times 5 \times 31 \]16740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 53760 |
| Euler totient φ(n) | 4320 |
| Square | 280227600 |
| Cube | 4691010024000 |
| Square root | 129.383152 (= 6√465) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.674 × |
16740 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and forty |
| Binary (base 2) | 100000101100100 |
| Octal (base 8) | 40544 |
| Hexadecimal (base 16) | 4164 |
| Base 3 | 211222000 |
| As time | 16740 seconds = 4 h 39 min 0 s |
Is 16740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16740 ÷ 2 = 8370) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16740 ÷ 3 = 5580) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16740 ÷ 4 = 4185) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16740 ÷ 5 = 3348) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16740 ÷ 6 = 2790) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16740 ÷ 9 = 1860) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16740 ÷ 10 = 1674) | 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 | Yes (16740 ÷ 12 = 1395) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16740 a prime number?
No. 16740 = × × 5 × 31, so it is divisible by 2.
What are the factors of 16740?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 31, 36, 45, 54, 60, 62, 90, 93, 108, 124, 135, 155, 180, 186, 270, 279, 310, 372, 465, 540, 558, 620, 837, 930, 1116, 1395, 1674, 1860, 2790, 3348, 4185, 5580, 8370, 16740.
What is 16740 in binary?
100000101100100 (hexadecimal 4164, octal 40544).
What is the square root of 16740?
About 129.3832, exactly 6√465.
Is 16740 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16740?
16740 is a Harshad number: divisible by its digit sum 18.