Properties of the Number 35136

Thirty-Five Thousand One Hundred Thirty-Six

Basics

Value: 35135 → 35136 → 35137

Parity: even

Prime: No

Previous Prime: 35129

Next Prime: 35141

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁶ × 3 ² × 61

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000100101000000

Octal: 104500

Duodecimal: 18400

Hexadecimal: 8940

Square: 1234538496

Square Root: 187.4459922217597

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

Lower triangular matrix T, read by rows, such that T(n,0) = 1 and T(n,k) = T(n-1,k) + T²(n-1,k-1) for k>0, where T² is the matrix square of T. A97712

The PDO(n) function (Partitions with Designated summands in which all parts are Odd): the sum of products of multiplicities of parts in all partitions of n into odd parts. A102186

Integers k such that there are i groups of order k+i up to isomorphism, for i=1,2,3. A373649

Numbers with 42 divisors. A175750

Triangle read by rows: T(n,k) is the number of partitions of the set {1,2,...,n} having k adjacent blocks of size 3, i.e., blocks of the form (i,i+1,i+2) (0 <= k <= floor(n/3)). A184176

Integer parts of the square roots of the schizophrenic numbers (A014824). A68995

Numbers of the form p⁶*q²*r where p, q, and r are distinct primes. A179703

Numbers n with property that n² contains "1234" as a substring. A175464

φ(n) + n is a cube. A114074

a(n) = 61·n². A174333