Properties of the Number 11428

Eleven Thousand Four Hundred Twenty-Eight

Basics

Value: 11427 → 11428 → 11429

Parity: even

Prime: No

Previous Prime: 11423

Next Prime: 11437

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 2857

Divisors: 1, 2, 4, 2857, 5714, 11428

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110010100100

Octal: 26244

Duodecimal: 6744

Hexadecimal: 2ca4

Square: 130599184

Square Root: 106.90182411914213

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of refinement-ordered pairs of strict integer partitions of n. A317142

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A241255

Numbers that are the sum of eight fourth powers in exactly six ways. A345838

Table T(n,k), n >= 0 and k >= 0, read by antidiagonals, related to A111146. A113143

a(n) = number of (s(0),s(1),...,s(n)) such that every s(i) is a nonnegative integer, s(0) = 1, s(n) = 3, |s(1) - s(0)| = 1, |s(i) - s(i-1)| <= 1 for i >= 2. Also a(n) = T(n,n-2), where T is the array in A026120. A26124

Index of first occurrence of n in A280053, the nachos numbers based on squares. A280054

Number of parts in all partitions of n in which no part occurs more than four times. A320607

Numbers for which the cube of the sum of the digits is equal to the square of the product of their digits. A241846

Number of colored integer partitions of n using all colors of an initial interval of the color palette such that each block of part i with multiplicity j has a pattern of i·j colors in (weakly) increasing order. A326654

Row 4 of table A113143; equal to INVERT of quartic (or 4-fold) factorials shifted one place right. A113145