Properties of the Number 13650

Thirteen Thousand Six Hundred Fifty

Basics

Value: 13649 → 13650 → 13651

Parity: even

Prime: No

Previous Prime: 13649

Next Prime: 13669

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 ² × 7 × 13

Divisors: 1, 2, 3, 5, 6, 7, 10, 13, 14, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010101010010

Octal: 32522

Duodecimal: 7A96

Hexadecimal: 3552

Square: 186322500

Square Root: 116.83321445547922

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 Riordan array [1, 1/(2-e^x)-1]. A256893

a(n) = σ(n) * A003961(n), where A003961 shifts the prime factorization of n one step towards larger primes, and σ is the sum of the divisors of n. A341529

Number of integer partitions of n with parts disjoint from first differences of parts, meaning no part is the difference of two consecutive parts. A363260

Heinz numbers of integer partitions with the same number of even parts, odd parts, even conjugate parts, and odd conjugate parts. A350947

Matrix square of Stirling-1 triangle A008275. A39814

a(n) = n*(n+1)*(5·n+1)/6. A33994

a(n) is the smallest positive integer such that a(n)*(1ⁿ + 2ⁿ + ... + xⁿ) is a polynomial in·with integer coefficients. A64538

Heinz numbers of integer partitions with as many even parts as odd conjugate parts and as many odd parts as even conjugate parts. A351980

T(n, k) = [x^k] ∑_k=0..n Stirling2(n, k)*RisingFactorial(x, k), triangle read by rows, for n >= 0 and 0 <= k <= n. A129062

Highly regular numbers a(n) defined as positions of records in A010846: a(1) = 1 and a(n) is the least number k > a(n-1) such that A010846(k) > A010846(a(n-1)). A244052