Properties of the Number 61468

Sixty-One Thousand Four Hundred Sixty-Eight

Basics

Value: 61467 → 61468 → 61469

Parity: even

Prime: No

Previous Prime: 61463

Next Prime: 61469

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 11 ² × 127

Divisors: 1, 2, 4, 11, 22, 44, 121, 127, 242, 254

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111000000011100

Octal: 170034

Duodecimal: 2B6A4

Hexadecimal: f01c

Square: 3778315024

Square Root: 247.9274087308622

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

Expansion of 1/((1-x)²*(1-x²)³*(1-x³)²*(1-x⁴)). A210068

Number of partitions of n such that neither floor(n/2) nor ceiling(n/2) is a part. A238623

G.f. for Ehrhart quasi-polynomials for hyperplane arrangements of type E₇. A210633

a(n) = d(n) + φ(n), where d(n) is the number of divisors (A000005) and φ(n) is Euler's totient function (A000010). A61468

Numbers m with C(2·m, m) + prime(m) prime, where C(2·m, m) = (2·m)!/(m!)². A236242

G.f. A(x) satisfies: [xⁿ] A(x)^2·n+1 = [xⁿ] 2·A(x)ⁿ⁺¹, for n > 1. A352020

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