Properties of the Number 10768

Ten Thousand Seven Hundred Sixty-Eight

Basics

Value: 10767 → 10768 → 10769

Parity: even

Prime: No

Previous Prime: 10753

Next Prime: 10771

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 673

Divisors: 1, 2, 4, 8, 16, 673, 1346, 2692, 5384, 10768

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101000010000

Octal: 25020

Duodecimal: 6294

Hexadecimal: 2a10

Square: 115949824

Square Root: 103.76897416858277

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

Primitive numbers in A229305. A229309

Bases b where exactly nine primes p with p < b exist such that p is a base-b Wieferich prime. A325885

Number of ways to cover (without overlapping) a ring lattice (necklace) of n sites with molecules that are 6 sites wide. A58367

Numbers k such that the k-th composition in standard order has even length and alternately equal and unequal parts, i.e., all run-lengths equal to 2. A351011

Expansion of ( ∑_k>=0 k·q^k² )⁸. A37217

Triangle read by rows: T(n,k) = 1 + (q-binomial coefficient [n,k] for q=2) - binomial(n,k). A176420

Triangle of coefficients of polynomials v(n,x) jointly generated with A207625; see the Formula section. A207626

Positions of zeros in A345055, which is the Dirichlet inverse of A011772. A345053

Numbers k for which φ(k) + anti-φ(k) = k. A66418

a(n) = 512n + 16. A157475