The number 46140
46140 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 769. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 769, 1538, 2307, 3076 … 46140.
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How to work it out
- 1
What is special about 46140: a Harshad number: divisible by its digit sum 15.
- 2
46140 is composite. Its prime factorisation is
- 3
The divisors add up to 129360; without 46140 itself that is 83220, so 46140 is abundant (83220 is more than 46140). Euler's totient φ(46140) = 12288 numbers up to 46140 share no factor with it.
- 4
The digits of 46140 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46140 = 2^{2} \times 3 \times 5 \times 769 \]46140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 129360 |
| Euler totient φ(n) | 12288 |
| Square | 2128899600 |
| Cube | 98227427544000 |
| Square root | 214.802235 (= 2√11535) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.614 × |
46140 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand one hundred and forty |
| Binary (base 2) | 1011010000111100 |
| Octal (base 8) | 132074 |
| Hexadecimal (base 16) | B43C |
| Base 3 | 2100021220 |
| As time | 46140 seconds = 12 h 49 min 0 s |
Is 46140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46140 ÷ 2 = 23070) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46140 ÷ 3 = 15380) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46140 ÷ 4 = 11535) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46140 ÷ 5 = 9228) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46140 ÷ 6 = 7690) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (46140 ÷ 10 = 4614) | 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 (46140 ÷ 12 = 3845) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46140 a prime number?
No. 46140 = × 3 × 5 × 769, so it is divisible by 2.
What are the factors of 46140?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 769, 1538, 2307, 3076, 3845, 4614, 7690, 9228, 11535, 15380, 23070, 46140.
What is 46140 in binary?
1011010000111100 (hexadecimal B43C, octal 132074).
What is the square root of 46140?
About 214.8022, exactly 2√11535.
Is 46140 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 46140?
46140 is a Harshad number: divisible by its digit sum 15.