# 10428 (number)

10,428 (ten thousand four hundred twenty-eight) is an even five-digits composite number following 10427 and preceding 10429. In scientific notation, it is written as 1.0428 × 104. The sum of its digits is 15. It has a total of 5 prime factors and 24 positive divisors. There are 3,120 positive integers (up to 10428) that are relatively prime to 10428.

## Basic properties

• Is Prime? No
• Number parity Even
• Number length 5
• Sum of Digits 15
• Digital Root 6

## Name

Short name 10 thousand 428 ten thousand four hundred twenty-eight

## Notation

Scientific notation 1.0428 × 104 10.428 × 103

## Prime Factorization of 10428

Prime Factorization 22 × 3 × 11 × 79

Composite number
Distinct Factors Total Factors Radical ω(n) 4 Total number of distinct prime factors Ω(n) 5 Total number of prime factors rad(n) 5214 Product of the distinct prime numbers λ(n) -1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) 0 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ(n) 0 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 10,428 is 22 × 3 × 11 × 79. Since it has a total of 5 prime factors, 10,428 is a composite number.

## Divisors of 10428

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 79, 132, 158, 237, 316, 474, 869, 948, 1738, 2607, 3476, 5214, 10428

24 divisors

 Even divisors 16 8 4 4
Total Divisors Sum of Divisors Aliquot Sum τ(n) 24 Total number of the positive divisors of n σ(n) 26880 Sum of all the positive divisors of n s(n) 16452 Sum of the proper positive divisors of n A(n) 1120 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 102.118 Returns the nth root of the product of n divisors H(n) 9.31071 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 10,428 can be divided by 24 positive divisors (out of which 16 are even, and 8 are odd). The sum of these divisors (counting 10,428) is 26,880, the average is 1,120.

## Other Arithmetic Functions (n = 10428)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 3120 Total number of positive integers not greater than n that are coprime to n λ(n) 390 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 1276 Total number of primes less than or equal to n r2(n) 0 The number of ways n can be represented as the sum of 2 squares

There are 3,120 positive integers (less than 10,428) that are coprime with 10,428. And there are approximately 1,276 prime numbers less than or equal to 10,428.

## Divisibility of 10428

 m n mod m 2 3 4 5 6 7 8 9 0 0 0 3 0 5 4 6

The number 10,428 is divisible by 2, 3, 4 and 6.

## Classification of 10428

• Arithmetic
• Abundant

### Expressible via specific sums

• Polite
• Practical
• Non-hypotenuse

## Base conversion (10428)

Base System Value
2 Binary 10100010111100
3 Ternary 112022020
4 Quaternary 2202330
5 Quinary 313203
6 Senary 120140
8 Octal 24274
10 Decimal 10428
12 Duodecimal 6050
20 Vigesimal 1618
36 Base36 81o

## Basic calculations (n = 10428)

### Multiplication

n×y
 n×2 20856 31284 41712 52140

### Division

n÷y
 n÷2 5214 3476 2607 2085.6

### Exponentiation

ny
 n2 108743184 1133973922752 11825080066457856 123311934933022522368

### Nth Root

y√n
 2√n 102.118 21.8474 10.1053 6.36268

## 10428 as geometric shapes

### Circle

 Diameter 20856 65521.1 3.41627e+08

### Sphere

 Volume 4.74998e+12 1.36651e+09 65521.1

### Square

Length = n
 Perimeter 41712 1.08743e+08 14747.4

### Cube

Length = n
 Surface area 6.52459e+08 1.13397e+12 18061.8

### Equilateral Triangle

Length = n
 Perimeter 31284 4.70872e+07 9030.91

### Triangular Pyramid

Length = n
 Surface area 1.88349e+08 1.3364e+11 8514.43

## Cryptographic Hash Functions

md5 4342309e4ba71c9a7d478ed061abd025 4e9f75a2f70f5c8456eb17365d501bccfabc8fa6 e1dba7e25e6f34f7793471881b5739b4ab87cd7ba7f26ab4195301386ab5ee0c 95c97694feaef7503eedddeb5d21c54a96d3db45c3a59b1d72a501fe0ba9059e5061e19e73d973fb3c6a618718e531bca97ca79fb98c2c73fdb97e67ff7ca4de de980088b639cdc32adcf422e1a7810fd78ff006
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