Properties of the Number 1135

One Thousand One Hundred Thirty-Five

Basics

Value: 1134 → 1135 → 1136

Parity: odd

Prime: No

Previous Prime: 1129

Next Prime: 1151

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 5 × 227

Divisors: 1, 5, 227, 1135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101111

Octal: 2157

Duodecimal: 7A7

Hexadecimal: 46f

Square: 1288225

Square Root: 33.689761055846034

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

Centered triangular numbers: a(n) = 3·n*(n-1)/2 + 1. A5448

a(n) = (n³ + 2·n)/3. A6527

This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of triangular numbers. The p-th row (p>=1) contains a(i,p) for i=1 to 2·p-1, where a(i,p) satisfies ∑_i=1..n C(i+1,2)^p = 3·C(n+2,3) * ∑_i=1..2·p-1 a(i,p) * C(n-1,i-1)/(i+2). A87127

Numbers m such that the Bernoulli number B_2·m has denominator 66. A51229

Generalized 27-gonal (or icosiheptagonal) numbers: m*(25·m - 23)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A316725

a(n) = ∑_k=0..n 3^wt(k), where wt() = A000120(). A130665

a(n) = (2·n+1)*(4·n²+4·n+3)/3. A57813

Numbers k whose largest divisor <= sqrt(k) is 5. A161835

Number of integer partitions of n whose length cannot be written as a nonnegative linear combination of the distinct parts. A367219

Position of n-th prime in A064413. A64955