Properties of the Number 80400

Eighty Thousand Four Hundred

Basics

Value: 80399 → 80400 → 80401

Parity: even

Prime: No

Previous Prime: 80387

Next Prime: 80407

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 ² × 67

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

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011101000010000

Octal: 235020

Duodecimal: 3A640

Hexadecimal: 13a10

Square: 6464160000

Square Root: 283.5489375751565

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

Number of n-colorings of the icosahedral graph. A218514

List of numbers n such that A039654(n) reaches a new record high. A292113

G.f. A(x) satisfies: A(x) = x + x² * exp(3 * ∑_k>=1 (-1)^k+1 * A(x^k) / k). A345244

Number of n X 7 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 1 1 vertically. A209223

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 1 1 vertically. A209224

Largest squarefree number dividing φ(n). A80400

a(n) = ∑_k=0..n ( binomial(n,k) - binomial(n,k-1) )⁴. A382434

a(1)=0; for n > 1, a(n) is the number k such that the set of the decimal digits is an additive group Z/mZ where m is the sum of the decimal digits. A261021