Properties of the Number 68816

Sixty-Eight Thousand Eight Hundred Sixteen

Basics

Value: 68815 → 68816 → 68817

Parity: even

Prime: No

Previous Prime: 68813

Next Prime: 68819

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 11 × 17 × 23

Divisors: 1, 2, 4, 8, 11, 16, 17, 22, 23, 34

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000110011010000

Octal: 206320

Duodecimal: 339A8

Hexadecimal: 10cd0

Square: 4735641856

Square Root: 262.3280389131135

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

Sum of all the parts in the partitions of n into 10 squarefree parts. A326627

G.f. A(x,y) satisfies: x·y = ∑_n=-oo..+oo (-1)ⁿ * x^n*(n+1/2) * A(x,y)ⁿ, with coefficients T(n,k) of xⁿ*y^k in A(x,y) given as a triangle read by rows. A355350

Triangle read by rows: the almost-Riordan array ( 1/(1-x) | 2/((1-x)*(1+x+sqrt(5·x²-6·x+1))), (1-3·x-sqrt(5·x²-6·x+1))/(2x) ). A373746

Structured disdyakis triacontahedral numbers (vertex structure 11). A100158

a(n) = T(7,n), array T given by A048505. A48512

Least k such that p = k² + 1 and q = (k+2n)² + 1 are prime numbers with q - p square. A339007

The minimum excess in the prime race of odious primes versus evil primes in the interval (2^n-1,2ⁿ). A127977

a(n) is the number of 5 element sets of distinct integer-sided trapezoids each of area less than 3·n² whose base angles are 60 degrees that fill a regular hexagon of side n units. A390763

Primes formed by a 5 followed by 1's. A68816