Properties of the Number 29680

Twenty-Nine Thousand Six Hundred Eighty

Basics

Value: 29679 → 29680 → 29681

Parity: even

Prime: No

Previous Prime: 29671

Next Prime: 29683

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 5 × 7 × 53

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111001111110000

Octal: 71760

Duodecimal: 15214

Hexadecimal: 73f0

Square: 880902400

Square Root: 172.27884373886423

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

The n-th n-gonal number: a(n) = n*(n² - 3·n + 4)/2. A60354

T(n,k)=Number of nXk 0..1 arrays with row sums equal and column sums unequal to adjacent columns. A202742

a(n) = ∑_{1 <= i, j <= n} gcd(i, j, n)³. A368743

"DHK[ 8 ]" (bracelet, identity, unlabeled, 8 parts) transform of 1,1,1,1,... A32249

Number of excedances in all odd permutations of {1,2,...,n} with no fixed points. A145886

40-gonal numbers: a(n) = 38·n*(n-1)/2 + n. A261191

Number of 3-line Latin rectangles. A1626

Sums of members of groups in A076063. A76066

Expansion of -2·x²*(-3-2·x+x²-x³-2·x⁴+x⁵) / ( (1+x)²*(x-1)⁴ ). A178465

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j) = gcd(prime(i), prime(j)) (A204118). A204119