Properties of the Number 35640

Thirty-Five Thousand Six Hundred Forty

Basics

Value: 35639 → 35640 → 35641

Parity: even

Prime: No

Previous Prime: 35617

Next Prime: 35671

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ⁴ × 5 × 11

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 11

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000101100111000

Octal: 105470

Duodecimal: 18760

Hexadecimal: 8b38

Square: 1270209600

Square Root: 188.78559267062727

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

a(n) = σ(n) * A003961(n), where A003961 shifts the prime factorization of n one step towards larger primes, and σ is the sum of the divisors of n. A341529

Numbers k such that the set of prime divisors of k is equal to the set of prime divisors of σ(k). A27598

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 3 neighboring 1s. A297544

Numbers n for which σ(n)/n=k+2/3 with integer k. A160321

Numbers k such that A017666(k) = denominator(σ(k)/k) = 3. A245775

Numbers expressible as (a²-1)(b²-1) in at least 2 distinct ways (b>=a>1). A63067

Numbers k such that σ(k) divides k². A90777

Integers m such that σ(m)² is divisible by m. A263928

a(n) = ∑_{x₁∣n, x₂∣n, x₃∣n, x₄∣n} gcd(x₁,x₂,x₃,x₄). A344138

Number T(n,k) of length 2n k-ary words, either empty or beginning with the first letter of the alphabet and using each letter at least once, that can be built by repeatedly inserting doublets into the initially empty word; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A256116