Properties of the Number 36900

Thirty-Six Thousand Nine Hundred

Basics

Value: 36899 → 36900 → 36901

Parity: even

Prime: No

Previous Prime: 36899

Next Prime: 36901

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 ² × 41

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000000100100

Octal: 110044

Duodecimal: 19430

Hexadecimal: 9024

Square: 1361610000

Square Root: 192.09372712298546

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

Exponential abundant numbers: integers k for which A126164(k) > k, or equivalently for which A051377(k) > 2k. A129575

Exponential unitary abundant numbers: numbers k such that A322857(k) > 2·k. A383693

Numbers that have exactly three exponents in their prime factorization that are equal to 2. A386798

Numbers i such that Fibonacci(i) is divisible by i, i+1, i+2, and i+3. A298685

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A316876

Number of shapes of height-balanced AVL trees with n nodes. A6265

Partial sums of A140091. A267370

Exponential admirable numbers: numbers k such that there is a proper exponential divisor d of k such that esigma(k) - 2·d = 2·k, where esigma is the sum of exponential divisors function (A051377). A336680

Exponential squarefree exponential abundant numbers: numbers k such that A361174(k) > 2·k. A383697

Cubefree exponential abundant numbers: cubefree numbers k for which A051377(k) > 2·k. A391427