Properties of the Number 36160

Thirty-Six Thousand One Hundred Sixty

Basics

Value: 36159 → 36160 → 36161

Parity: even

Prime: No

Previous Prime: 36151

Next Prime: 36161

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁶ × 5 × 113

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000110101000000

Octal: 106500

Duodecimal: 18B14

Hexadecimal: 8d40

Square: 1307545600

Square Root: 190.1578291840754

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

T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..3 order. A222906

Norm of coefficients in the expansion of 1/(1 - 2·x - i·x²), where i is the imaginary unit. A218134

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j) = gcd(prime(i+1), prime(j+1)) (A204120). A204121

Practical numbers q with q + 2 and q² + 2 both practical. A294225

Total number of square parts in all compositions of n. A309535

Number of 2 X n 0..3 arrays with no more than floor(2 X n/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..3 order. A222907

Number of (n+2) X (2+2) 0..1 arrays with every 2 X 2 and 3 X 3 subblock diagonal maximum minus antidiagonal minimum unequal to its neighbors horizontally and vertically. A253361

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 95. A31593

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (0, 1, 0), (0, 1, 1), (1, 0, 0), (1, 0, 1)}. A151245

Abs(square of n-th prime minus cube of n-1). A151911