Properties of the Number 74880

Seventy-Four Thousand Eight Hundred Eighty

Basics

Value: 74879 → 74880 → 74881

Parity: even

Prime: No

Previous Prime: 74873

Next Prime: 74887

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁷ × 3 ² × 5 × 13

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010010010000000

Octal: 222200

Duodecimal: 37400

Hexadecimal: 12480

Square: 5607014400

Square Root: 273.64210202379314

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 g.f.: (1 + x + x²)/(1 - 2·x - 2·x²). A121907

T(n,k) = number of (n+1) X (k+1) 0..2 arrays with the number of clockwise edge increases in every 2 X 2 subblock unequal to the number of counterclockwise edge increases. A205823

Number of subsets of {2...n} containing no element whose prime indices all belong to the subset. A324739

G.f. A(x) satisfies A(x) = 1/(1 - x·A(x) - x⁴*A'''(x)). A385763

Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k consecutive triples of the form (odd,even,odd) and (even,odd,even) (0<=k<=n-2). A152877

Triangle T(n, k) = 2·n*binomial(2·n-k, k)*(n-k)!/(2·n-k), with T(0, 0) = 2, read by rows. A156995

Numbers k for which σ(k) >= 2·k and (σ(k) - 2·k) AND k = k, where AND is bitwise-and, A004198. A388026

Numbers k that divide τ(k)*σ(k). A71707

E.g.f.: exp(6·arcsin(x)). A166748

Number of subsets of {1..n} containing n such that no two elements have the same sorted prime signature. A325263