Properties of the Number 36480

Thirty-Six Thousand Four Hundred Eighty

Basics

Value: 36479 → 36480 → 36481

Parity: even

Prime: No

Previous Prime: 36479

Next Prime: 36493

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁷ × 3 × 5 × 19

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

4823 Try Today's Challenge

Representations

Binary: 1000111010000000

Octal: 107200

Duodecimal: 19140

Hexadecimal: 8e80

Square: 1330790400

Square Root: 190.99738218101317

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 nXk 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0 or 2 neighboring 1s. A296335

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A316130

Numbers with prime factorization pqrs⁷. A190473

Number of ways in which n identical balls can be distributed among 5 boxes in a row such that each pair of adjacent boxes contains at least 4 balls. A5338

a(n) = n*(n+1)*(n² + n + 4)/4. A61316

Constant term of the reduction by x² -> x+1 of the polynomial p(n,x) defined below in Comments. A192383

Coefficients in the expansion of 1/([r] + [2r]x + [3r]x² + ...); [ ] = floor, r = 7/4. A279678

Numbers such that the two adjacent integers are a prime and the square of another prime. A347194

Numbers sandwiched between two numbers having only one prime divisor (at least) one of which is composite. A88072

Both k and its reverse are one less than a square. A287389