Properties of the Number 97440

Ninety-Seven Thousand Four Hundred Forty

Basics

Value: 97439 → 97440 → 97441

Parity: even

Prime: No

Previous Prime: 97429

Next Prime: 97441

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 5 × 7 × 29

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110010100000

Octal: 276240

Duodecimal: 48480

Hexadecimal: 17ca0

Square: 9494553600

Square Root: 312.15380824202674

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

Saint-Exupéry numbers: ordered products of the three sides of Pythagorean triangles. A57096

Numbers with prime factorization pqrst⁵. A190383

Denominators of expansion of 1/x+1/log(1-x). A75178

Numbers other than prime powers divisible by the sum of the squares of their prime divisors. A190882

Smallest number·such that sum of divisors of·is n!. A55488

Imaginary part of (n + i)⁴. A272871

E.g.f.: ∏_m>0 (1 + x^2·m-1 + x^4·m-2/2! + x^6·m-3/3!). A293489

a(n) = ∑_{x₁+x₂+x₃+x₄=n, 0 <= x₁, x₂, x₃, x₄ <= n} (3·n)!/((n-x₁)! * (n-x₂)! * (n-x₃)! * (n-x₄)!). A348700

Triangular array read by rows: row n gives the coefficients of the polynomial p(n,x) defined in Comments. A249074

a(n) is the least positive number whose divisors have all possible residues mod n. A280171