Properties of the Number 13540

Thirteen Thousand Five Hundred Forty

Basics

Value: 13539 → 13540 → 13541

Parity: even

Prime: No

Previous Prime: 13537

Next Prime: 13553

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5 × 677

Divisors: 1, 2, 4, 5, 10, 20, 677, 1354, 2708, 3385

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11010011100100

Octal: 32344

Duodecimal: 7A04

Hexadecimal: 34e4

Square: 183331600

Square Root: 116.36150566231085

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

Numbers n such that Bernoulli number B_n has denominator 330. A272183

T(n,k)=Number of length n+3 0..k arrays with no four elements in a row with pattern abba (possibly a=b) and new values 0..k introduced in 0..k order. A243033

Number of partitions of n containing m(5) as a part, where m denotes multiplicity. A240490

a(n) is the number of integers whose sum of divisors is 6ⁿ. A48253

Number of trees that have a maximum 'n'. A168542

a(0) = ... = a(4) = 1; a(n) = ∑_k=1..n-5 a(k) * a(n-k-5). A346049

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = ∑_i=0..k·n 2ⁱ * ∑_j=0..i (-1)^j * binomial(i,j) * binomial(i-j,n)^k. A384362

Numerators of continued fraction convergents to sqrt(773). A42490

a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = n - 1 - 2^p and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 3, and a(3) = 1. A49918

Times in hours, minutes and seconds (to the nearest second) at which the hour and minute hands of an analog clock, if interchanged, continue to indicate some other albeit accurate times, over a complete 12-hour sweep for the slower hand. Leading zeros omitted. A121577