Properties of the Number 5360

Five Thousand Three Hundred Sixty

Basics

Value: 5359 → 5360 → 5361

Parity: even

Prime: No

Previous Prime: 5351

Next Prime: 5381

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 5 × 67

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 67

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010011110000

Octal: 12360

Duodecimal: 3128

Hexadecimal: 14f0

Square: 28729600

Square Root: 73.2120208708925

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 having positive odd rank (the rank of a partition is the largest part minus the number of parts). A101707

In the decimal expansion of π, the string "0" is found at position 32 counting from the first digit after the decimal point. The string "32" is found at position 15, the string "15" at position 3, the string "3" at position 9, etc. A97614

Self-convolution of 1 2 3 5 7 11 15 22 30 42 56 77 ... (A000041). A48574

a(n) = |{m : multiplicative order of 4 mod m=n}|. A59886

T(n,k)=Number of nXnXn triangular 0..k arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value. A214540

Number of 2 X 2 singular integer matrices with elements from {1,...,n}. A134506

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements. A251317

Trajectory of 45 under repeated application of the map k -> A291784(k). A291787

Irregular table read by rows: The number of k-faced polyhedra, where k>=4, created when an n-antiprism, formed from two n-sided regular polygons joined by 2n adjacent alternating triangles, is internally cut by all the planes defined by any three of its vertices. A338808

a(n) = n*(3·n+14). A140679