The number 69720
69720 is a composite number with 64 divisors. Its prime factorisation is × 3 × 5 × 7 × 83. Divisors (64): 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28 … 69720.
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How to work it out
- 1
What is special about 69720: a Harshad number: divisible by its digit sum 24.
- 2
69720 is composite. Its prime factorisation is
- 3
The divisors add up to 241920; without 69720 itself that is 172200, so 69720 is abundant (172200 is more than 69720). Euler's totient φ(69720) = 15744 numbers up to 69720 share no factor with it.
- 4
The digits of 69720 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 69720 = 2^{3} \times 3 \times 5 \times 7 \times 83 \]69720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 241920 |
| Euler totient φ(n) | 15744 |
| Square | 4860878400 |
| Cube | 338900442048000 |
| Square root | 264.045451 (= 2√17430) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 143 |
| Scientific notation | 6.972 × |
69720 in other forms
| Form | Value |
|---|---|
| In words | sixty-nine thousand seven hundred and twenty |
| Binary (base 2) | 10001000001011000 |
| Octal (base 8) | 210130 |
| Hexadecimal (base 16) | 11058 |
| Base 3 | 10112122020 |
| As time | 69720 seconds = 19 h 22 min 0 s |
Is 69720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (69720 ÷ 2 = 34860) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (69720 ÷ 3 = 23240) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (69720 ÷ 4 = 17430) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (69720 ÷ 5 = 13944) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (69720 ÷ 6 = 11620) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (69720 ÷ 7 = 9960) | 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 (69720 ÷ 8 = 8715) | 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 (69720 ÷ 10 = 6972) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (69720 ÷ 12 = 5810) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 69720 a prime number?
No. 69720 = × 3 × 5 × 7 × 83, so it is divisible by 2.
What are the factors of 69720?
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 83, 84, 105, 120, 140, 166, 168, 210, 249, 280, 332, 415, 420, 498, 581, 664, 830, 840, 996, 1162, 1245, 1660, 1743, 1992, 2324, 2490, 2905, 3320, 3486, 4648, 4980, 5810, 6972, 8715, 9960, 11620, 13944, 17430, 23240, 34860, 69720.
What is 69720 in binary?
10001000001011000 (hexadecimal 11058, octal 210130).
What is the square root of 69720?
About 264.0455, exactly 2√17430.
Is 69720 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 69720?
69720 is a Harshad number: divisible by its digit sum 24.