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Properties of the Number 78144

Seventy-Eight Thousand One Hundred Forty-Four

Basics

Value: 78143 → 78144 → 78145

Parity: even

Prime: No

Previous Prime: 78139

Next Prime: 78157

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 6 × 3 × 11 × 37

Divisors: 1, 2, 3, 4, 6, 8, 11, 12, 16, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10011000101000000

Octal: 230500

Duodecimal: 39280

Hexadecimal: 13140

Square: 6106484736

Square Root: 279.54248335449836

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

Sum of all the parts in the partitions of n into 10 parts. A326588
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237567
Numbers which can be expressed as the product of numbers made of only fours. A161142
Numbers which can be expressed as the product of numbers made of only eights. A161146
G.f.: q-sinh(x) evaluated at q=-x. A198202
Totients t such that the number of divisors of t equals the number of solutions of φ(x) = t. A305058
Number of possible states when placing n tokens of 2 alternating types on 3 piles. A320731
Number of (n+1) X (1+1) 0..2 arrays with the upper median plus the lower median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one. A237560
Number of (n+1)X(6+1) 0..2 arrays with the upper median plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237565
Numbers that are formed using their own digits and addition and seventh power operators. A195674