The number 58740

Q: Is 58740 a prime number?

No. 58740 = 2^2 × 3 × 5 × 11 × 89, so it is divisible by 2.

58740 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 11 × 89. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55 … 58740.

Number

Pick any whole number from 1 to 100,000.

58740 = 2^{2} \times 3 \times 5 \times 11 \times 89

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How to work it out

1
58740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
58740 is composite. Its prime factorisation is
$58740 = 2^{2} \times 3 \times 5 \times 11 \times 89$
3
The divisors add up to 181440; without 58740 itself that is 122700, so 58740 is abundant (122700 is more than 58740). Euler's totient φ(58740) = 14080 numbers up to 58740 share no factor with it.
4
The digits of 58740 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 135 steps to reach 1.

LaTeX source of the formulas on this page

\[ 58740 = 2^{2} \times 3 \times 5 \times 11 \times 89 \]

58740 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	181440
Euler totient φ(n)	14080
Square	3450387600
Cube	202675767624000
Square root	242.363364 (= 2√14685)
Digit sum / digital root	24 / 6
Collatz steps to 1	135
Scientific notation	5.874 × $10^{4}$

58740 in other forms

Form	Value
In words	fifty-eight thousand seven hundred and forty
Binary (base 2)	1110010101110100
Octal (base 8)	162564
Hexadecimal (base 16)	E574
Base 3	2222120120
As time	58740 seconds = 16 h 19 min 0 s

Is 58740 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (58740 ÷ 2 = 29370)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (58740 ÷ 3 = 19580)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (58740 ÷ 4 = 14685)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (58740 ÷ 5 = 11748)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (58740 ÷ 6 = 9790)	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 (58740 ÷ 10 = 5874)	A number is divisible by 10 if the last digit is 0.
11	Yes (58740 ÷ 11 = 5340)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (58740 ÷ 12 = 4895)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 58740 a prime number?

No. 58740 = $2^{2}$ × 3 × 5 × 11 × 89, so it is divisible by 2.

What are the factors of 58740?

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 89, 110, 132, 165, 178, 220, 267, 330, 356, 445, 534, 660, 890, 979, 1068, 1335, 1780, 1958, 2670, 2937, 3916, 4895, 5340, 5874, 9790, 11748, 14685, 19580, 29370, 58740.

What is 58740 in binary?

1110010101110100 (hexadecimal E574, octal 162564).

What is the square root of 58740?

About 242.3634, exactly 2√14685.

Is 58740 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 58740?

It is a composite number with 48 divisors.