Properties of the Number 65388

Sixty-Five Thousand Three Hundred Eighty-Eight

Basics

Value: 65387 → 65388 → 65389

Parity: even

Prime: No

Previous Prime: 65381

Next Prime: 65393

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 5449

Divisors: 1, 2, 3, 4, 6, 12, 5449, 10898, 16347, 21796

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1111111101101100

Octal: 177554

Duodecimal: 31A10

Hexadecimal: ff6c

Square: 4275590544

Square Root: 255.71077411794755

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

Consider the 2^n-1-1 nonempty subsets S of {1, 2, ..., n-1}; a(n) gives number of such S for which it is impossible to partition n into parts from S such that each s in S is used at least once. A70880

The forgotten topological index of the Aztec diamond AZ(n) (see the Ramanes et al. reference, Theorem 2.1). A292346

Triangle T(n,m) by rows: the number of tatami tilings of the 5 X n floor with dimers and m monomers. A272474

Record values for σ(m) + φ(m): sum of σ and totient is larger than for any previous number. A65388

Eighth diagonal (m=7) of triangle A084938; a(n) = A084938(n+7,n) = (n⁷ + 63·n⁶ + 1855·n⁵ + 34125·n⁴ + 438424·n³ + 3980172·n² + 20946960·n)/5040. A90393