Math Question: What is the sum of the squares of the prime factors of 420?

To find the prime factors of 420, we break it down into primes: 420 = 2^2 * 3 * 5 * 7. Now, we square each prime factor and add them together: (2^2)^2 + (3^1)^2 + (5^1)^2 + (7^1)^2 = 4 + 9 + 25 + 49 = 87. Therefore, the sum of the squares of the prime factors of 420 is 87.

Math Question: What is the greatest prime factor of 420?

To find the greatest prime factor of 420, we start by dividing it by the smallest prime, 2. We get 210. Continuing the process, we divide 210 by 2 again, and we get 105. Dividing 105 by 3, we have 35. The next prime, 5, divides 35, leaving us with 7. Since no primes divide 7, we have found the prime factorization of 420: 2 × 2 × 3 × 5 × 7. Therefore, the greatest prime factor of 420 is 7.

Math question: What is the sum of the prime factors of 420 when multiplied by the product of its digits, divided by the square root of the nearest perfect cube?

The prime factors of 420 are 2, 3, 5, and 7. The product of its digits is 4 * 2 * 0 = 0. The nearest perfect cube is 441, and its square root is 21. Therefore, the sum of the prime factors (2 + 3 + 5 + 7 = 17) multiplied by the product of the digits (0) divided by the square root of the nearest perfect cube (21) is 0.

Max	9223372036854775807
25835	Positive integer
0b10001100	Binary number
01771452	Octal number
0x129abf	Hex number
5.012 * 10^7	Scientific notation
2^4 * 5	Factorized form
*	Random number

420 (number)

420 is an even 3-digits composite number following 419 and preceding 421. In scientific notation, it is written as 4.20 × 10^2. The sum of its digits is 6. It has a total of 4 prime factors and 12 positive divisors. There are 96 positive integers (up to 420) that are relatively prime to 420.

Interesting facts

420 has 12 divisors, whose sum is 924
The reverse of 420 is 024
Previous prime number is 21

Basic properties

Is Prime? no
Number parity even
Number length 3
Sum of Digits 6
Digital Root 6

Name

Name	four hundred twenty

Notation

Scientific notation	4.20 × 10^2
Engineering notation	4.20 × 10^0

Prime Factorization of 420

Prime Factorization 2 × 2 × 21 × 5

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	210	Product of the distinct prime numbers

The prime factorization of 420 is 2 × 2 × 21 × 5. Since it has a total of 4 prime factors.

Most popular turbo-numbers

2, 7, 9, 2, 302, 583, 8775, 6273, 25339, 53262, 628923, 543893, 8288641, 8310559, 92024250, 9195057, 584142195, 883747315, 140911936, 7914910079

Basic calculations (n = 420)

Multiplication

n×y

n×2	840
n×3	1260
n×4	1680
n×5	2100

Division

n÷y

n÷2	210
n÷3	140
n÷3	105
n÷5	84

Exponentiation

n^y

n²	176400
n³	74088000
n⁴	31116960000
n⁵	13069123200000

Nth Root

^y√n

²√n	20.493901531919
³√n	7.4888723872185
⁴√n	4.5270190558379
⁵√n	3.3469548828321

Divisors of 420

1, 2, 4, 5, 10, 20, 21, 42, 84, 105, 210, 420

12 divisors

τ	Total Divisors	12	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-419	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.083333333333333	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1	Returns the nth root of the product of n divisors
H	Harmonic Mean	12	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 420 can be divided by 12 positive divisors. The sum of these divisors (counting 420) is 1, the average is 0.083333333333333.

Base conversion 420

Base	System	Value
2	Binary	110100100
3	Ternary	120120
4	Quaternary	12210
5	Quinary	3140
6	Senary	1540
8	Octal	644
10	Decimal	420
12	Duodecimal	2b0
16	Hexadecimal	1a4
20	Vigesimal	110
36	Base36	bo

Cryptographic Hash Functions

md5	b6f0479ae87d244975439c6124592772
sha1	7a95563490d87e3621966d553f06078acb822585
sha256	db55da3fc3098e9c42311c6013304ff36b19ef73d12ea932054b5ad51df4f49d
sha512	1b62cdf14e227b37eb72e0ae3207bd1159b1a972c5cd1d636d2a74728c8cb0b949336b3c9967be7ca22d55f319a0a820776128dba21482c27c66c91fa2a94f02
ripemd-160	cf2c30ca0f3fc56da4d2f6d0258e96d9778111fd

420 as geometric shapes

Circle

Radius = n

Diameter	840
Circumference	2638.9378290154
Area	554176.94409324

Sphere

Radius = n

Volume	310339088.69221
Surface area	2216707.776373
Circumference	2638.9378290154

Square

Length = n

Perimeter	1680
Area	176400
Diagonal	593.9696961967

Cube

Length = n

Surface area	1058400
Volume	74088000
Space diagonal	727.46133917893

Equilateral Triangle

Length = n

Perimeter	1260
Area	76383.440613787
Altitude	363.73066958946

Triangular Pyramid

Length = n

Surface area	76383.440613787
Volume	8731354.5340915
Height	197.98989873223