The number 64740

Q: Is 64740 a prime number?

No. 64740 = 2^2 × 3 × 5 × 13 × 83, so it is divisible by 2.

64740 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 13 × 83. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60 … 64740.

Number

Pick any whole number from 1 to 100,000.

64740 = 2^{2} \times 3 \times 5 \times 13 \times 83

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How to work it out

1
64740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
64740 is composite. Its prime factorisation is
$64740 = 2^{2} \times 3 \times 5 \times 13 \times 83$
3
The divisors add up to 197568; without 64740 itself that is 132828, so 64740 is abundant (132828 is more than 64740). Euler's totient φ(64740) = 15744 numbers up to 64740 share no factor with it.
4
The digits of 64740 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.

LaTeX source of the formulas on this page

\[ 64740 = 2^{2} \times 3 \times 5 \times 13 \times 83 \]

64740 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	197568
Euler totient φ(n)	15744
Square	4191267600
Cube	271342664424000
Square root	254.440563 (= 2√16185)
Digit sum / digital root	21 / 3
Collatz steps to 1	55
Scientific notation	6.474 × $10^{4}$

64740 in other forms

Form	Value
In words	sixty-four thousand seven hundred and forty
Binary (base 2)	1111110011100100
Octal (base 8)	176344
Hexadecimal (base 16)	FCE4
Base 3	10021210210
As time	64740 seconds = 17 h 59 min 0 s

Is 64740 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (64740 ÷ 2 = 32370)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (64740 ÷ 3 = 21580)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (64740 ÷ 4 = 16185)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (64740 ÷ 5 = 12948)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (64740 ÷ 6 = 10790)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 4)	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 (64740 ÷ 10 = 6474)	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 (64740 ÷ 12 = 5395)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 64740 a prime number?

No. 64740 = $2^{2}$ × 3 × 5 × 13 × 83, so it is divisible by 2.

What are the factors of 64740?

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 83, 130, 156, 166, 195, 249, 260, 332, 390, 415, 498, 780, 830, 996, 1079, 1245, 1660, 2158, 2490, 3237, 4316, 4980, 5395, 6474, 10790, 12948, 16185, 21580, 32370, 64740.

What is 64740 in binary?

1111110011100100 (hexadecimal FCE4, octal 176344).

What is the square root of 64740?

About 254.4406, exactly 2√16185.

Is 64740 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 64740?

It is a composite number with 48 divisors.