Properties of the Number 20407

Twenty Thousand Four Hundred Seven

Basics

Value: 20406 → 20407 → 20408

Parity: odd

Prime: Yes

Previous Prime: 20399

Next Prime: 20411

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 20407

Divisors: 1, 20407

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111110110111

Octal: 47667

Duodecimal: B987

Hexadecimal: 4fb7

Square: 416445649

Square Root: 142.85307137055193

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

Expansion of 1/(1+x+2·x²+x³). A77979

Expansion of 1/(1-x+2·x²-x³) in powers of x. A77954

Least positive integer multiples of angle·such that their direction cosines form a unit vector: ∑_k>0 cos(a(k)*x)² = 1, where a(1)=1 and x=2/3. A80140

Primes p such that 8·p²-2·p-1 divides Fibonacci(p). A159231

Number of rooted bicolored trees on n unlabeled nodes such that black nodes are not adjacent to each other and every white node is adjacent to a black node. A339838

G.f. satisfies A(x) = 1 + x·A(x * (1 - x)). A360894

Primes in A051022. A92908

The prime numbers whose digit sum, adjacent digit sum concatenation, and adjacent digit difference concatenation are also primes. A330653

Least prime p such that prime(p·n)-1 is a square, or 0 if no such p exists. A259764

Primes p such that π(p²)*π(q²) is a square for some prime q < p, where π(x) denotes the number of primes not exceeding x. A262700