Properties of the Number 78188

Seventy-Eight Thousand One Hundred Eighty-Eight

Basics

Value: 78187 → 78188 → 78189

Parity: even

Prime: No

Previous Prime: 78179

Next Prime: 78191

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 11 × 1777

Divisors: 1, 2, 4, 11, 22, 44, 1777, 3554, 7108, 19547

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011000101101100

Octal: 230554

Duodecimal: 392B8

Hexadecimal: 1316c

Square: 6113363344

Square Root: 279.621172302814

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

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it, modulo 4. A239819

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k ascents of length 2 starting at an odd level (0<=k<=floor(n/2)-1 for n>=2; k=0 for n=0,1). A114463

Numbers which on adding their reversal gives perfect cubes. A80179

Number of nX2 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it, modulo 4. A239813

Number of 7Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it, modulo 4. A239825

Number of binary words w of length n such that the number of distinct blocks of length k that w contains is <= k+2 for all k. A297526

a(1) = 1; for n > 1 take the digits of a(n-1) one after the other and remove one occurrence of this digit from the digits of m = k·n (k > 0) if possible; a(n) is the smallest multiple m of n which has the least number of remaining digits (counted with multiplicity). A78188