Properties of the Number 10460

Ten Thousand Four Hundred Sixty

Basics

Value: 10459 → 10460 → 10461

Parity: even

Prime: No

Previous Prime: 10459

Next Prime: 10463

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5 × 523

Divisors: 1, 2, 4, 5, 10, 20, 523, 1046, 2092, 2615

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011011100

Octal: 24334

Duodecimal: 6078

Hexadecimal: 28dc

Square: 109411600

Square Root: 102.27414140436477

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 parts in all partitions of n into distinct parts. A15723

T(n,k)=Number of length n+1 0..k arrays with the sum of adjacent differences multiplied by some arrangement of +-1 equal to zero. A250167

Array read by antidiagonals: A(n,k) is the number of nonnegative integer matrices with k columns and any number of distinct nonzero rows with column sums n and columns in nonincreasing lexicographic order. A331572

Inverse Euler transform applied once to {1,-1,0,0,0,...}, twice to {1,0,0,0,0,...}, or three times to {1,1,1,1,1,...}. A320767

a(n,k) equals the number of semistandard Young tableaux with shape of a partition of n and maximal element <= k. A191714

a(n) has generating function 1/((1-x)^k*(1-x²)^k*(k-1/2)) for k=5. A181477

Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 2. A209984

Exponents in expansion of constant A065463 as ∏_n>1 ζ(n)^-a(n). A65490

Partial sums of A294629. A294630

Number of nonnegative integer matrices with n columns and any number of distinct nonzero rows with column sums 2 and columns in nonincreasing lexicographic order. A331709