The number 29040

Q: Is 29040 a prime number?

No. 29040 = 2^4 × 3 × 5 × 11^2, so it is divisible by 2.

29040 is a composite number with 60 divisors. Its prime factorisation is $2^{4}$ × 3 × 5 × $11^{2}$ . Divisors (60): 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30 … 29040.

Number

Pick any whole number from 1 to 100,000.

29040 = 2^{4} \times 3 \times 5 \times 11^{2}

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How to work it out

1
What is special about 29040: a Harshad number: divisible by its digit sum 15.
2
29040 is composite. Its prime factorisation is
$29040 = 2^{4} \times 3 \times 5 \times 11^{2}$
3
The divisors add up to 98952; without 29040 itself that is 69912, so 29040 is abundant (69912 is more than 29040). Euler's totient φ(29040) = 7040 numbers up to 29040 share no factor with it.
4
The digits of 29040 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.

LaTeX source of the formulas on this page

\[ 29040 = 2^{4} \times 3 \times 5 \times 11^{2} \]

29040 at a glance

Property	Value
Type	composite
Number of divisors	60
Sum of divisors	98952
Euler totient φ(n)	7040
Square	843321600
Cube	24490059264000
Square root	170.411267 (= 44√15)
Digit sum / digital root	15 / 6
Collatz steps to 1	59
Scientific notation	2.904 × $10^{4}$

29040 in other forms

Form	Value
In words	twenty-nine thousand and forty
Binary (base 2)	111000101110000
Octal (base 8)	70560
Hexadecimal (base 16)	7170
Base 3	1110211120
As time	29040 seconds = 8 h 4 min 0 s

Is 29040 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (29040 ÷ 2 = 14520)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (29040 ÷ 3 = 9680)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (29040 ÷ 4 = 7260)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (29040 ÷ 5 = 5808)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (29040 ÷ 6 = 4840)	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	Yes (29040 ÷ 8 = 3630)	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 (29040 ÷ 10 = 2904)	A number is divisible by 10 if the last digit is 0.
11	Yes (29040 ÷ 11 = 2640)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (29040 ÷ 12 = 2420)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 29040 a prime number?

No. 29040 = $2^{4}$ × 3 × 5 × $11^{2}$ , so it is divisible by 2.

What are the factors of 29040?

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 33, 40, 44, 48, 55, 60, 66, 80, 88, 110, 120, 121, 132, 165, 176, 220, 240, 242, 264, 330, 363, 440, 484, 528, 605, 660, 726, 880, 968, 1210, 1320, 1452, 1815, 1936, 2420, 2640, 2904, 3630, 4840, 5808, 7260, 9680, 14520, 29040.

What is 29040 in binary?

111000101110000 (hexadecimal 7170, octal 70560).

What is the square root of 29040?

About 170.4113, exactly 44√15.

Is 29040 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 29040?

29040 is a Harshad number: divisible by its digit sum 15.