Properties of the Number 70100

Seventy Thousand One Hundred

Basics

Value: 70099 → 70100 → 70101

Parity: even

Prime: No

Previous Prime: 70099

Next Prime: 70111

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 5 ² × 701

Divisors: 1, 2, 4, 5, 10, 20, 25, 50, 100, 701

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001000111010100

Octal: 210724

Duodecimal: 34698

Hexadecimal: 111d4

Square: 4914010000

Square Root: 264.76404589747455

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

Numbers k such that k and k² use only the digits 0, 1, 4, 7 and 9. A136865

a(n) = sum of the squares of the coefficients of x^2k in A(x²)^2*(n-2k)+1, as k varies from 0 to floor(n/2), with a(0)=1. A162249

Number of quadruples [i,j,k,l] with all entries between 1 and n such that gcd(i,j) = gcd(k,l). A124162

Number of strings of numbers x(i=1..n) in 0..3 with sum i³*x(i) equal to n³*3. A184251

G.f. A(x) satisfies: [xⁿ] A(x)ⁿ⁺¹ = [xⁿ] (1 + x·A(x)ⁿ)ⁿ⁺¹ for n>=0. A302702

Number of integer triangles with perimeter n and prime side lengths which are acute and isosceles. A70100