Properties of the Number 10535

Ten Thousand Five Hundred Thirty-Five

Basics

Value: 10534 → 10535 → 10536

Parity: odd

Prime: No

Previous Prime: 10531

Next Prime: 10559

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 7 ² × 43

Divisors: 1, 5, 7, 35, 43, 49, 215, 245, 301, 1505

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100100111

Octal: 24447

Duodecimal: 611B

Hexadecimal: 2927

Square: 110986225

Square Root: 102.64014809030625

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 avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 0 0 vertically. A207741

Digitally balanced numbers in base 6: equal numbers of 0's, 1's, ..., 5's. A49357

a(n) = n*(n+7)*(n+8)/6. A111396

Numbers k such that k divides the numerator of B(2k) (the Bernoulli numbers), but gcd(3k, 8^k+1) > 3. A70192

Sequence is {a(4,n)}, where a(m,n) is defined at sequence A110665. A110669

a(n) = -(n - 4)*(n - 5)*(n - 12)/6. A167541

a(n) = 5·n² - n + 1. A172043

Indices of highly composite numbers A002182 which are between a twin prime pair. A321995

a(n) = A364491(n) * A364492(n). A364493

Triangle read by rows, defined by T(n,k) = C(n,k)*S2(n,k), 0 <= k <= n, where C(n,k) are the binomial coefficients and S2(n,k) are the Stirling numbers of the second kind. A90683