The number 25140
25140 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 419. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 419, 838, 1257, 1676 … 25140.
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How to work it out
- 1
What is special about 25140: a Harshad number: divisible by its digit sum 12.
- 2
25140 is composite. Its prime factorisation is
- 3
The divisors add up to 70560; without 25140 itself that is 45420, so 25140 is abundant (45420 is more than 25140). Euler's totient φ(25140) = 6688 numbers up to 25140 share no factor with it.
- 4
The digits of 25140 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 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25140 = 2^{2} \times 3 \times 5 \times 419 \]25140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 70560 |
| Euler totient φ(n) | 6688 |
| Square | 632019600 |
| Cube | 15888972744000 |
| Square root | 158.555984 (= 2√6285) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.514 × |
25140 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand one hundred and forty |
| Binary (base 2) | 110001000110100 |
| Octal (base 8) | 61064 |
| Hexadecimal (base 16) | 6234 |
| Base 3 | 1021111010 |
| As time | 25140 seconds = 6 h 59 min 0 s |
Is 25140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25140 ÷ 2 = 12570) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (25140 ÷ 3 = 8380) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (25140 ÷ 4 = 6285) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (25140 ÷ 5 = 5028) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (25140 ÷ 6 = 4190) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (25140 ÷ 10 = 2514) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (25140 ÷ 12 = 2095) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25140 a prime number?
No. 25140 = × 3 × 5 × 419, so it is divisible by 2.
What are the factors of 25140?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 419, 838, 1257, 1676, 2095, 2514, 4190, 5028, 6285, 8380, 12570, 25140.
What is 25140 in binary?
110001000110100 (hexadecimal 6234, octal 61064).
What is the square root of 25140?
About 158.5560, exactly 2√6285.
Is 25140 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 25140?
25140 is a Harshad number: divisible by its digit sum 12.