The number 16140
16140 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 269. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 269, 538, 807, 1076 … 16140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16140: a Harshad number: divisible by its digit sum 12.
- 2
16140 is composite. Its prime factorisation is
- 3
The divisors add up to 45360; without 16140 itself that is 29220, so 16140 is abundant (29220 is more than 16140). Euler's totient φ(16140) = 4288 numbers up to 16140 share no factor with it.
- 4
The digits of 16140 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16140 = 2^{2} \times 3 \times 5 \times 269 \]16140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 45360 |
| Euler totient φ(n) | 4288 |
| Square | 260499600 |
| Cube | 4204463544000 |
| Square root | 127.043300 (= 2√4035) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.614 × |
16140 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and forty |
| Binary (base 2) | 11111100001100 |
| Octal (base 8) | 37414 |
| Hexadecimal (base 16) | 3F0C |
| Base 3 | 211010210 |
| As time | 16140 seconds = 4 h 29 min 0 s |
Is 16140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16140 ÷ 2 = 8070) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16140 ÷ 3 = 5380) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16140 ÷ 4 = 4035) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16140 ÷ 5 = 3228) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16140 ÷ 6 = 2690) | 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 | No (remainder 4) | 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 (16140 ÷ 10 = 1614) | 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 | Yes (16140 ÷ 12 = 1345) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16140 a prime number?
No. 16140 = × 3 × 5 × 269, so it is divisible by 2.
What are the factors of 16140?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 269, 538, 807, 1076, 1345, 1614, 2690, 3228, 4035, 5380, 8070, 16140.
What is 16140 in binary?
11111100001100 (hexadecimal 3F0C, octal 37414).
What is the square root of 16140?
About 127.0433, exactly 2√4035.
Is 16140 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 16140?
16140 is a Harshad number: divisible by its digit sum 12.