Properties of the Number 85680

Eighty-Five Thousand Six Hundred Eighty

Basics

Value: 85679 → 85680 → 85681

Parity: even

Prime: No

Previous Prime: 85669

Next Prime: 85691

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 5 × 7 × 17

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100111010110000

Octal: 247260

Duodecimal: 41700

Hexadecimal: 14eb0

Square: 7341062400

Square Root: 292.7114620236112

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

Square array A(row,col): A(row,1) = A273670(row-1), and for col > 1, A(row,col) = A153880(A(row,col-1)); Dispersion of factorial base left shift A153880. A276955

Expansion of e.g.f.: exp(x²/(1 - x)²). A52887

Numbers k such that σ(k) > 4·k. A68404

Numbers k such that σ(k) >= 4·k. A23198

Square array A(row,col) read by antidiagonals: A(1,col) = A273670(col-1), and for row > 1, A(row,col) = A153880(A(row-1,col)); Dispersion of factorial base shift A153880 (array transposed). A276953

a(n) = (2·n+1)*(n-1)!. A129326

Numbers n whose divisors can be partitioned into four disjoint sets whose sums are all σ(n)/4. A204831

Compute S, the number of different quadratic residues modulo B for every base B. If the density S/B is smaller for B than for every B' less than B, then B is added to the sequence. A85635

Triangle read by rows: T(n, k) = n! * 2^k * hypergeom([-k], [-n], 1/2). A374428

Expansion of e.g.f. (2+x-x²)/(1-x)². A52649