The number 79380
79380 is a composite number with 90 divisors. Its prime factorisation is × × 5 × . Divisors (90): 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27 … 79380.
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How to work it out
- 1
What is special about 79380: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
79380 is composite. Its prime factorisation is
- 3
The divisors add up to 289674; without 79380 itself that is 210294, so 79380 is abundant (210294 is more than 79380). Euler's totient φ(79380) = 18144 numbers up to 79380 share no factor with it.
- 4
The digits of 79380 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 79380 = 2^{2} \times 3^{4} \times 5 \times 7^{2} \]79380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 90 |
| Sum of divisors | 289674 |
| Euler totient φ(n) | 18144 |
| Square | 6301184400 |
| Cube | 500188017672000 |
| Square root | 281.744565 (= 126√5) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.938 × |
79380 in other forms
| Form | Value |
|---|---|
| In words | seventy-nine thousand three hundred and eighty |
| Binary (base 2) | 10011011000010100 |
| Octal (base 8) | 233024 |
| Hexadecimal (base 16) | 13614 |
| Base 3 | 11000220000 |
| As time | 79380 seconds = 22 h 3 min 0 s |
Is 79380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (79380 ÷ 2 = 39690) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (79380 ÷ 3 = 26460) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (79380 ÷ 4 = 19845) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (79380 ÷ 5 = 15876) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (79380 ÷ 6 = 13230) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (79380 ÷ 7 = 11340) | 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 | Yes (79380 ÷ 9 = 8820) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (79380 ÷ 10 = 7938) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (79380 ÷ 12 = 6615) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 79380 a prime number?
No. 79380 = × × 5 × , so it is divisible by 2.
What are the factors of 79380?
1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 49, 54, 60, 63, 70, 81, 84, 90, 98, 105, 108, 126, 135, 140, 147, 162, 180, 189, 196, 210, 245, 252, 270, 294, 315, 324, 378, 405, 420, 441, 490, 540, 567, 588, 630, 735, 756, 810, 882, 945, 980, 1134, 1260, 1323, 1470, 1620, 1764, 1890, 2205, 2268, 2646, 2835, 2940, 3780, 3969, 4410, 5292, 5670, 6615, 7938, 8820, 11340, 13230, 15876, 19845, 26460, 39690, 79380.
What is 79380 in binary?
10011011000010100 (hexadecimal 13614, octal 233024).
What is the square root of 79380?
About 281.7446, exactly 126√5.
Is 79380 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 79380?
79380 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.