Properties of the Number 20070

Twenty Thousand Seventy

Basics

Value: 20069 → 20070 → 20071

Parity: even

Prime: No

Previous Prime: 20063

Next Prime: 20071

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 223

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100111001100110

Octal: 47146

Duodecimal: B746

Hexadecimal: 4e66

Square: 402804900

Square Root: 141.66862743741115

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 (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row and column sum 2 3 or 4 and every diagonal and antidiagonal sum not 2 3 or 4. A252228

Triangle read by rows: T(n,k) is the number of sets of noncrossing paths of size k whose nodes are a subset of n nodes arranged in a circle with one node paths allowed, 0 <= k <= n. A390897

a(n) = ∑_{x₁∣n, x₂∣n, x₃∣n, x₄∣n} gcd(x₁,x₂,x₃,x₄). A344138

4·a(n) is the maximum possible determinant of a 3 X 3 matrix whose entries are 9 consecutive primes starting with prime(n). A340923

Expansion of ∏_k>=0 ((1+x^3·k+1)/(1-x^3·k+1))³. A261651

a(n) is the total number of elements in all sum-free subsets of {1,...,n}. A288888

a(n) = ∑_{k=0..floor(n/2)} binomial(n+k-1,k) * binomial(3·k,n-2·k). A389293

Numbers n such that prime(n) and φ(n) have the same decimal digits. A243462

Number of (n+2) X (1+2) 0..2 arrays with every 3 X 3 subblock row and column sum 2 3 or 4 and every diagonal and antidiagonal sum not 2 3 or 4. A252221

Let s denote the sum of the abundant numbers in the aliquot parts of x. Sequence lists numbers·such that σ(s) = usigma(x), where usigma(x) is the sum of the unitary divisors of x (A034448). A258135