The number 58140

Q: Is 58140 a prime number?

No. 58140 = 2^2 × 3^2 × 5 × 17 × 19, so it is divisible by 2.

58140 is a composite number with 72 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × 5 × 17 × 19. Divisors (72): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 19, 20, 30, 34 … 58140.

Number

Pick any whole number from 1 to 100,000.

58140 = 2^{2} \times 3^{2} \times 5 \times 17 \times 19

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How to work it out

1
What is special about 58140: a Harshad number: divisible by its digit sum 18.
2
58140 is composite. Its prime factorisation is
$58140 = 2^{2} \times 3^{2} \times 5 \times 17 \times 19$
3
The divisors add up to 196560; without 58140 itself that is 138420, so 58140 is abundant (138420 is more than 58140). Euler's totient φ(58140) = 13824 numbers up to 58140 share no factor with it.
4
The digits of 58140 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.

LaTeX source of the formulas on this page

\[ 58140 = 2^{2} \times 3^{2} \times 5 \times 17 \times 19 \]

58140 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	196560
Euler totient φ(n)	13824
Square	3380259600
Cube	196528293144000
Square root	241.122376 (= 6√1615)
Digit sum / digital root	18 / 9
Collatz steps to 1	166
Scientific notation	5.814 × $10^{4}$

58140 in other forms

Form	Value
In words	fifty-eight thousand one hundred and forty
Binary (base 2)	1110001100011100
Octal (base 8)	161434
Hexadecimal (base 16)	E31C
Base 3	2221202100
As time	58140 seconds = 16 h 9 min 0 s

Is 58140 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (58140 ÷ 2 = 29070)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (58140 ÷ 3 = 19380)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (58140 ÷ 4 = 14535)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (58140 ÷ 5 = 11628)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (58140 ÷ 6 = 9690)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 5)	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 (58140 ÷ 9 = 6460)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (58140 ÷ 10 = 5814)	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 (58140 ÷ 12 = 4845)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 58140 a prime number?

No. 58140 = $2^{2}$ × $3^{2}$ × 5 × 17 × 19, so it is divisible by 2.

What are the factors of 58140?

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 19, 20, 30, 34, 36, 38, 45, 51, 57, 60, 68, 76, 85, 90, 95, 102, 114, 153, 170, 171, 180, 190, 204, 228, 255, 285, 306, 323, 340, 342, 380, 510, 570, 612, 646, 684, 765, 855, 969, 1020, 1140, 1292, 1530, 1615, 1710, 1938, 2907, 3060, 3230, 3420, 3876, 4845, 5814, 6460, 9690, 11628, 14535, 19380, 29070, 58140.

What is 58140 in binary?

1110001100011100 (hexadecimal E31C, octal 161434).

What is the square root of 58140?

About 241.1224, exactly 6√1615.

Is 58140 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 58140?

58140 is a Harshad number: divisible by its digit sum 18.