The number 16440
16440 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 137. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 16440.
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How to work it out
- 1
What is special about 16440: a Harshad number: divisible by its digit sum 15.
- 2
16440 is composite. Its prime factorisation is
- 3
The divisors add up to 49680; without 16440 itself that is 33240, so 16440 is abundant (33240 is more than 16440). Euler's totient φ(16440) = 4352 numbers up to 16440 share no factor with it.
- 4
The digits of 16440 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16440 = 2^{3} \times 3 \times 5 \times 137 \]16440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 49680 |
| Euler totient φ(n) | 4352 |
| Square | 270273600 |
| Cube | 4443297984000 |
| Square root | 128.218563 (= 2√4110) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.644 × |
16440 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and forty |
| Binary (base 2) | 100000000111000 |
| Octal (base 8) | 40070 |
| Hexadecimal (base 16) | 4038 |
| Base 3 | 211112220 |
| As time | 16440 seconds = 4 h 34 min 0 s |
Is 16440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16440 ÷ 2 = 8220) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16440 ÷ 3 = 5480) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16440 ÷ 4 = 4110) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16440 ÷ 5 = 3288) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16440 ÷ 6 = 2740) | 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 (16440 ÷ 8 = 2055) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16440 ÷ 10 = 1644) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16440 ÷ 12 = 1370) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16440 a prime number?
No. 16440 = × 3 × 5 × 137, so it is divisible by 2.
What are the factors of 16440?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 137, 274, 411, 548, 685, 822, 1096, 1370, 1644, 2055, 2740, 3288, 4110, 5480, 8220, 16440.
What is 16440 in binary?
100000000111000 (hexadecimal 4038, octal 40070).
What is the square root of 16440?
About 128.2186, exactly 2√4110.
Is 16440 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 16440?
16440 is a Harshad number: divisible by its digit sum 15.