Properties of the Number 12564

Twelve Thousand Five Hundred Sixty-Four

Basics

Value: 12563 → 12564 → 12565

Parity: even

Prime: No

Previous Prime: 12553

Next Prime: 12569

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 349

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 349

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11000100010100

Octal: 30424

Duodecimal: 7330

Hexadecimal: 3114

Square: 157854096

Square Root: 112.08925015361643

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

Number of partitions of n such that 2*(greatest part) >= (number of parts). A237755

a(n) = ∑_k=1..n k² * floor(n/k)². A350123

Leading term of n-th row of A081491. A81490

Positive numbers having the same set of digits in base 7 and base 10. A37440

Triangle read by rows: T(n,k) is the coefficient A_k in the transformation ∑_k=0..n (k+1)*x^k = ∑_k=0..n A_k*(x+2)^k. A246788

Number of compositions (ordered partitions) of n into heptagonal pyramidal numbers (A002413). A322855

Numbers n such that sum of primes dividing n (with repetition) is equal to the largest prime factor of n+1. A71863

Positive numbers k such that k and 2·k are anagrams in base 7 (written in base 7). A23068

Positive numbers k such that k and 5·k are anagrams in base 9 (written in base 9). A23082

a(n)=sum{k=0..floor(n/2), C(n,2k)*A000108(floor(k/2))}. Inverse binomial transform is aeration of doubled Catalan numbers. A157021