Properties of the Number 67536

Sixty-Seven Thousand Five Hundred Thirty-Six

Basics

Value: 67535 → 67536 → 67537

Parity: even

Prime: No

Previous Prime: 67531

Next Prime: 67537

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 7 × 67

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000011111010000

Octal: 203720

Duodecimal: 33100

Hexadecimal: 107d0

Square: 4561111296

Square Root: 259.8768939324926

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

Numbers that are the sum of four third powers in nine or more ways. A345146

Numbers that are the sum of four third powers in ten or more ways. A345155

Expansion of θ series of {E₇}* lattice in powers of q^1/2. A3781

θ series of the coset of the E₇ lattice in its dual. A5931

Number of (w,x,y,z) with all terms in {1,...,n} and w<2x and y>2z. A212504

G.f. A(x) satisfies: A(x) = A(x²) / (1 - x - x² - x³). A309702

Nonzero coefficients in θ series of {E₇}* lattice. A30443

T(n, k) = ∑_{m = 0..n-1} Stirling1(m+1, k)*binomial(n, m)*(-1)^{n + k}, where "Stirling1" are the signed Stirling numbers of the first kind. A367198

Numbers k such that φ(k*(k+1)*(k+2)/3)/φ(k) is not an integer where φ(k) is the Euler totient function A000010(k). A67536

Least positive integer k such that both k and k·n belong to the set {m>0: prime(m) = prime(p)+2 for some prime p}. A261295