Properties of the Number 74970

Seventy-Four Thousand Nine Hundred Seventy

Basics

Value: 74969 → 74970 → 74971

Parity: even

Prime: No

Previous Prime: 74959

Next Prime: 75011

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 7 ² × 17

Divisors: 1, 2, 3, 5, 6, 7, 9, 10, 14, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010010011011010

Octal: 222332

Duodecimal: 37476

Hexadecimal: 124da

Square: 5620500900

Square Root: 273.80650101851126

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

Number of ways to partition the set of vertices of a convex {n+8}-gon into 3 non-intersecting polygons. A350116

a(n) = A328613(A276086(n)). A328763

Irregular triangle read by rows: T(n,k) is the number of n-permutations whose fourth-longest cycle has length exactly k; n >= 0, 0 <= k <= floor(n/4). A350273

Numbers n for which 2 < A257993(A276086(A276086(n))) < A257993(n), where A276086 converts the primorial base expansion of n into its prime product form, and A257993 returns the index of the least prime not present in its argument. A328762

s(k)-s(j), where the pairs (k,j) are given by A205857 and A205858, and s(k) denotes the (k+1)-st Fibonacci number. A205859

s(k)-s(j), where the pairs (k,j) are given by A205862 and A205863, and s(k) denotes the (k+1)-st Fibonacci number. A205864

s(k)-s(j), where the pairs (k,j) are given by A205872 and A205873, and s(k) denotes the (k+1)-st Fibonacci number. A205874

s(k)-s(j), where the pairs (k,j) are given by A205877 and A205878, and s(k) denotes the (k+1)-st Fibonacci number. A205879

Expansion of ∏_k>=1 (1-x^k)²⁷. A10832

Numbers n such that the sum of the digits of ∑_k=1..n (k!) is divisible by n. A109657