Properties of the Number 20065

Twenty Thousand Sixty-Five

Basics

Value: 20064 → 20065 → 20066

Parity: odd

Prime: No

Previous Prime: 20063

Next Prime: 20071

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 4013

Divisors: 1, 5, 4013, 20065

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100111001100001

Octal: 47141

Duodecimal: B741

Hexadecimal: 4e61

Square: 402604225

Square Root: 141.65097952361643

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

a(n) = ∑_i=0..n A047080(i,n-i). A47084

Triangle read by rows: row n gives coefficients of Schur polynomial ω(n) in order of decreasing powers of x. A269750

G.f.: ∏_m>0 (1 + x^m + 2!*x^2·m + 3!*x^3·m + 4!*x^4·m + 5!*x^5·m). A293250

Solutions to the simultaneous equations m(n)+1=a(n)² and 7·m(n)+1=b(n)². A161852

Denominators of the other-side convergents to sqrt(7). A259596

Numbers k such that the continued fraction for sqrt(k) has period 81. A20420

Numbers k such that 159·2^k + 1 is prime. A32456

Numbers n such that 4·10ⁿ + R_n + 6 is prime, where R_n = 11...1 is the repunit (A002275) of length n. A102982

Numbers k such that k and k² use only the digits 0, 2, 4, 5 and 6. A136898

Number of nondecreasing arrangements of n numbers in -6..6 with sum zero and sum of squares less than n·42/3. A183932