Properties of the Number 36240

Thirty-Six Thousand Two Hundred Forty

Basics

Value: 36239 → 36240 → 36241

Parity: even

Prime: No

Previous Prime: 36229

Next Prime: 36241

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 × 151

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110110010000

Octal: 106620

Duodecimal: 18B80

Hexadecimal: 8d90

Square: 1313337600

Square Root: 190.3680645486527

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

Triangle of numbers {a(n,k), n >= 0, 0<=k<=n} defined by a(0,0)=1, a(n,0)=a(n-1,n-1), a(n,k)=a(n,k-1) + ∑_i=0..k-1 a(n-1,i). A108041

Somos's sequence {b(7,n)} defined in comment in A078495: a(0)=a(1)=...=a(16)=1; for n>=17, a(n)=(a(n-1)*a(n-16)+a(n-8)*a(n-9))/a(n-17). A271954

Number T(n,k) of parity alternating permutations of [n] with exactly k descents from odd to even numbers; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/2)), read by rows. A232187

Integers n such that 2n²+1, 2n³+1 and 2n⁴+1 are prime. A239920

The 8th Hermite Polynomial evaluated at n: H₈(n) = 256·n⁸-3584·n⁶+13440·n⁴-13440·n²+1680. A247853

75-gonal numbers: a(n) = n*(73·n-71)/2. A98230

a(n) = Hermite(n,3). A144142

Number of 3-way interactions when 3 subsets of power set on {1..n} are chosen at random; number of Boolean functions of n variables and rank 3 from Post class F(8,inf). A36240