Properties of the Number 67488

Sixty-Seven Thousand Four Hundred Eighty-Eight

Basics

Value: 67487 → 67488 → 67489

Parity: even

Prime: No

Previous Prime: 67481

Next Prime: 67489

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 19 × 37

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 19, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000011110100000

Octal: 203640

Duodecimal: 33080

Hexadecimal: 107a0

Square: 4554630144

Square Root: 259.78452609807226

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

If X₁, ..., X_n is a partition of a 2n-set X into 2-blocks then a(n) is equal to the number of 3-subsets of X containing none of X_i, (i=1,...,n). A130809

T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0, 2 or 4 neighboring 1s. A296635

Sum of all the parts in the partitions of n into 7 parts. A308926

Number of points of l₁ norm n in the "diamond" lattice D^+_4. A35878

Numbers k such that the sum of the Carmichael λ functions of the divisors is a proper divisor of k. A131492

Number of nX5 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0, 2 or 4 neighboring 1s. A296632

Numbers m such that m | A000385(m-1) = ∑_k=1..m-1 σ(k) * σ(m-k). A326608

Number of n X n 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0, 2 or 4 neighboring 1's. A296629

Powers of 2 with initial digit 1. A67488

Number of order n magic triangles composed of the numbers from 1 to n² in which the sum of each 2 X 2 subtriangle is the same, counted up to rotations and reflections. A375416