The number 55140
55140 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 919. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 919, 1838, 2757, 3676 … 55140.
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How to work it out
- 1
What is special about 55140: a Harshad number: divisible by its digit sum 15.
- 2
55140 is composite. Its prime factorisation is
- 3
The divisors add up to 154560; without 55140 itself that is 99420, so 55140 is abundant (99420 is more than 55140). Euler's totient φ(55140) = 14688 numbers up to 55140 share no factor with it.
- 4
The digits of 55140 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55140 = 2^{2} \times 3 \times 5 \times 919 \]55140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 154560 |
| Euler totient φ(n) | 14688 |
| Square | 3040419600 |
| Cube | 167648736744000 |
| Square root | 234.819079 (= 2√13785) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.514 × |
55140 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and forty |
| Binary (base 2) | 1101011101100100 |
| Octal (base 8) | 153544 |
| Hexadecimal (base 16) | D764 |
| Base 3 | 2210122020 |
| As time | 55140 seconds = 15 h 19 min 0 s |
Is 55140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55140 ÷ 2 = 27570) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55140 ÷ 3 = 18380) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55140 ÷ 4 = 13785) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55140 ÷ 5 = 11028) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55140 ÷ 6 = 9190) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55140 ÷ 10 = 5514) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55140 ÷ 12 = 4595) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55140 a prime number?
No. 55140 = × 3 × 5 × 919, so it is divisible by 2.
What are the factors of 55140?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 919, 1838, 2757, 3676, 4595, 5514, 9190, 11028, 13785, 18380, 27570, 55140.
What is 55140 in binary?
1101011101100100 (hexadecimal D764, octal 153544).
What is the square root of 55140?
About 234.8191, exactly 2√13785.
Is 55140 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 55140?
55140 is a Harshad number: divisible by its digit sum 15.