Properties of the Number 29970

Twenty-Nine Thousand Nine Hundred Seventy

Basics

Value: 29969 → 29970 → 29971

Parity: even

Prime: No

Previous Prime: 29959

Next Prime: 29983

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁴ × 5 × 37

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111010100010010

Octal: 72422

Duodecimal: 15416

Hexadecimal: 7512

Square: 898200900

Square Root: 173.11845655504212

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

Hexanacci numbers: a(n+1) = a(n)+...+a(n-5) with a(0)=...=a(4)=0, a(5)=1. A1592

Number of partitions of n having (sum of odd parts) = (sum of even parts). A239261

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally. A232908

Expansion of η(q⁶) * η(q¹⁰) / (η(q) * η(q¹⁵)) in powers of q. A94023

Numbers that have exactly seven prime factors counted with multiplicity (A046308) whose digit reversal is different and also has 7 prime factors (with multiplicity). A109027

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having the sum of the absolute values of the edge differences equal to 4. A233949

Number of partitions of 4n with equal sums of odd and even parts. A249914

Expansion of q * (χ(-q³) * χ(-q⁵)) / (χ(-q) * χ(-q¹⁵))² in powers of q where χ() is a Ramanujan θ function. A123630

Expansion of f(-q⁶) * f(-q¹⁰) / (f(q) * f(q¹⁵)) in powers of q where f() is a Ramanujan θ function. A145728

Number of maximal squarefree words of length n over the alphabet {0,1,2}. A282212