Properties of the Number 97680

Ninety-Seven Thousand Six Hundred Eighty

Basics

Value: 97679 → 97680 → 97681

Parity: even

Prime: No

Previous Prime: 97673

Next Prime: 97687

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 × 11 × 37

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110110010000

Octal: 276620

Duodecimal: 48640

Hexadecimal: 17d90

Square: 9541382400

Square Root: 312.5379976898809

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 with prime factorization p·q*r·s*t⁴ (where p, q, r, s, t are distinct primes). A190110

Numbers k such that the k-th triangular number contains only digits {0,4,7}. A218400

Number of s in {1,...,n}ⁿ having shortest run with the same value of length 4. A228630

Expansion of φ(x²) * χ(x)⁴ in powers of·where φ(), χ() are Ramanujan θ functions. A260515

a(n) is least k such that k and 8k are anagrams in base n (written in base 10). A23100

a(n) = permanent of an n X n matrix M of zeros and ones defined as follows: if we concatenate the rows of M to form a vector v of length n², v_i = 0 if i is prime and v_i = 1, otherwise. A110950

E.g.f.: (1/(1-x⁵))*exp( 5*∑_i>=0 x^5·i+1/(5·i+1) ) for an order-5 linear recurrence with varying coefficients. A97680