The number 62040

Q: Is 62040 a prime number?

No. 62040 = 2^3 × 3 × 5 × 11 × 47, so it is divisible by 2.

62040 is a composite number with 64 divisors. Its prime factorisation is $2^{3}$ × 3 × 5 × 11 × 47. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33 … 62040.

Number

Pick any whole number from 1 to 100,000.

62040 = 2^{3} \times 3 \times 5 \times 11 \times 47

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How to work it out

1
What is special about 62040: a Harshad number: divisible by its digit sum 12.
2
62040 is composite. Its prime factorisation is
$62040 = 2^{3} \times 3 \times 5 \times 11 \times 47$
3
The divisors add up to 207360; without 62040 itself that is 145320, so 62040 is abundant (145320 is more than 62040). Euler's totient φ(62040) = 14720 numbers up to 62040 share no factor with it.
4
The digits of 62040 add up to 12, 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

\[ 62040 = 2^{3} \times 3 \times 5 \times 11 \times 47 \]

62040 at a glance

Property	Value
Type	composite
Number of divisors	64
Sum of divisors	207360
Euler totient φ(n)	14720
Square	3848961600
Cube	238789577664000
Square root	249.078301 (= 2√15510)
Digit sum / digital root	12 / 3
Collatz steps to 1	55
Scientific notation	6.204 × $10^{4}$

62040 in other forms

Form	Value
In words	sixty-two thousand and forty
Binary (base 2)	1111001001011000
Octal (base 8)	171130
Hexadecimal (base 16)	F258
Base 3	10011002210
As time	62040 seconds = 17 h 14 min 0 s

Is 62040 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (62040 ÷ 2 = 31020)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (62040 ÷ 3 = 20680)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (62040 ÷ 4 = 15510)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (62040 ÷ 5 = 12408)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (62040 ÷ 6 = 10340)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 6)	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 (62040 ÷ 8 = 7755)	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 (62040 ÷ 10 = 6204)	A number is divisible by 10 if the last digit is 0.
11	Yes (62040 ÷ 11 = 5640)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (62040 ÷ 12 = 5170)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 62040 a prime number?

No. 62040 = $2^{3}$ × 3 × 5 × 11 × 47, so it is divisible by 2.

What are the factors of 62040?

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 47, 55, 60, 66, 88, 94, 110, 120, 132, 141, 165, 188, 220, 235, 264, 282, 330, 376, 440, 470, 517, 564, 660, 705, 940, 1034, 1128, 1320, 1410, 1551, 1880, 2068, 2585, 2820, 3102, 4136, 5170, 5640, 6204, 7755, 10340, 12408, 15510, 20680, 31020, 62040.

What is 62040 in binary?

1111001001011000 (hexadecimal F258, octal 171130).

What is the square root of 62040?

About 249.0783, exactly 2√15510.

Is 62040 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 62040?

62040 is a Harshad number: divisible by its digit sum 12.