Question: What is the square root of the sum of the digits of the number 1461, when multiplied by 10, divided by 3, and added to the cube of the number 4?

To find the square root of the sum of the digits of 1461, we add 1 + 4 + 6 + 1 = 12. Taking the square root of 12, we get √12 ≈ 3.464. Multiplying this by 10 gives 34.64. Dividing by 3 results in approximately 11.5467. When we add this to the cube of 4 (4^3 = 4 × 4 × 4 = 64), we have 11.5467 + 64 = 75.5467. Hence, the final answer is approximately 75.5467.

Math Question: What is the smallest positive integer such that when it is multiplied by 1461, the result is a perfect square?

To find the answer, we need to factorize the number 1461. It can be expressed as 1461 = 3 * 487, where 3 and 487 are prime numbers. Now, in order for their product to be a perfect square, each prime factor must appear an even number of times. Hence, we need to find the smallest positive integer such that, when multiplied by 1461, it results in both 3 and 487 appearing an even number of times in its prime factorization. Since 3 * 487 is already a product of two distinct prime numbers, the smallest positive integer that satisfies this condition would be the number 1461 itself. Therefore, when we multiply 1461 by 1461, the result is 2134321, which is a perfect square (sqrt(2134321) = 1461).

Math Question: What is the sum of all the multiples of 7 less than or equal to 1461?

To find the sum of multiples of 7 up to 1461, we need to determine the number of terms using the formula (last term-first term)/common difference + 1. The common difference for multiples of 7 is 7 itself. Thus, the number of terms = (1461-7)/7 + 1 = 209. Now, we can use the arithmetic series formula Sn = (n/2)(first term + last term) to obtain the sum. The first term is 7, the last term is 209*7 = 1463, and the number of terms is 209. Plugging these values into the formula, we get Sn = (209/2)(7 + 1463) = 1506197. Therefore, the sum of all the multiples of 7 up to 1461 is 1506197.

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

1461 (number)

1461 is an odd 4-digits composite number following 1460 and preceding 1462. In scientific notation, it is written as 1.461 × 10^3. The sum of its digits is 12. It has a total of 2 prime factors and 4 positive divisors. There are 972 positive integers (up to 1461) that are relatively prime to 1461.

Interesting facts

1461 has 4 divisors, whose sum is 1952
The reverse of 1461 is 1641
Previous prime number is 3

Basic properties

Is Prime? no
Number parity odd
Number length 4
Sum of Digits 12
Digital Root 3

Name

Name	one thousand four hundred sixty-one

Notation

Scientific notation	1.461 × 10^3
Engineering notation	1.461 × 10^3

Prime Factorization of 1461

Prime Factorization 3 × 487

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	1461	Product of the distinct prime numbers

The prime factorization of 1461 is 3 × 487. Since it has a total of 2 prime factors.

Most popular turbo-numbers

6, 7, 18, 37, 635, 146, 1631, 3790, 51451, 10238, 659291, 896707, 5907380, 5113031, 94258239, 90587712, 817133875, 778101368, 4295967483, 3611126329

Basic calculations (n = 1461)

Multiplication

n×y

n×2	2922
n×3	4383
n×4	5844
n×5	7305

Division

n÷y

n÷2	730.5
n÷3	487
n÷3	365.25
n÷5	292.2

Exponentiation

n^y

n²	2134521
n³	3118535181
n⁴	4556179899441
n⁵	6656578833083301

Nth Root

^y√n

²√n	38.223029707233
³√n	11.347061411356
⁴√n	6.1824776349966
⁵√n	4.2946724195882

Divisors of 1461

1, 3, 487, 1461

4 divisors

τ	Total Divisors	4	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-1460	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.25	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	4	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 1461 can be divided by 4 positive divisors. The sum of these divisors (counting 1461) is 1, the average is 0.25.

Base conversion 1461

Base	System	Value
2	Binary	10110110101
3	Ternary	2000010
4	Quaternary	112311
5	Quinary	21321
6	Senary	10433
8	Octal	2665
10	Decimal	1461
12	Duodecimal	a19
16	Hexadecimal	5b5
20	Vigesimal	3d1
36	Base36	14l

Cryptographic Hash Functions

md5	95151403b0db4f75bfd8da0b393af853
sha1	8b4078f9f76081a0c3ce5db983aa4f340ecd7531
sha256	4cd468501fc1a553f49a7098424c51d2ed7f6d546266addcc16e50a008ee148c
sha512	831e025377d6df492cac5b894b20dd8a68a49cf23a9aa3a2545b720b5c8b43d2fbc2a24cb7be9ac3a9895d826f57fe318f80057d8eda0f49576636189771a9cd
ripemd-160	5d21ed9637fa5bd0f35fad7315ac15fdf93862ba

1461 as geometric shapes

Circle

Radius = n

Diameter	2922
Circumference	9179.7337337894
Area	6705795.4925331

Sphere

Radius = n

Volume	13062889619.455
Surface area	26823181.970133
Circumference	9179.7337337894

Square

Length = n

Perimeter	5844
Area	2134521
Diagonal	2066.1660146271

Cube

Length = n

Surface area	12807126
Volume	3118535181
Space diagonal	2530.5262298581

Equilateral Triangle

Length = n

Perimeter	4383
Area	924274.70545568
Altitude	1265.2631149291

Triangular Pyramid

Length = n

Surface area	924274.70545568
Volume	367522895.64232
Height	688.7220048757