Properties of the Number 78240

Seventy-Eight Thousand Two Hundred Forty

Basics

Value: 78239 → 78240 → 78241

Parity: even

Prime: No

Previous Prime: 78233

Next Prime: 78241

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 5 × 163

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000110100000

Octal: 230640

Duodecimal: 39340

Hexadecimal: 131a0

Square: 6121497600

Square Root: 279.71413979275343

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

Triangle P, read by rows, that satisfies [P⁴](n,k) = P(n+1,k+1) for n>=k>=0, also [P^4·m](n,k) = [P^m](n+1,k+1) for all m, where [P^m](n,k) denotes the element at row n, column k, of the matrix power m of P, with P(k,k)=1 and P(k+1,1)=P(k+1,0) for k>=0. A111845

McKay-Thompson series of class 29A for Monster. A58611

Number of partitions of 4ⁿ - 1 into powers of 4, also equals column 0 of triangle A111845, which shifts columns left and up under matrix 4th power. A111846

McKay-Thompson series of class 29A for the Monster group with a(0) = 2. A136570

a(n) is the number of permutations of size n ending with n whose n left-to-right maxima are consecutive and nonadjacent. A374162

a(n) = smallest multiple of n using only composite digits (0,4,6,8,9). A78240

Column 0 of the matrix logarithm (A111848) of triangle A111845, which shifts columns left and up under matrix 4th power; these terms are the result of multiplying the element in row n by n!. A111849