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Properties of the Number 1919

One Thousand Nine Hundred Nineteen

Basics

Value: 1918 → 1919 → 1920

Parity: odd

Prime: No

Previous Prime: 1913

Next Prime: 1931

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 19 × 101

Divisors: 1, 19, 101, 1919

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101111111

Octal: 3577

Duodecimal: 113B

Hexadecimal: 77f

Square: 3682561

Square Root: 43.80639222761902

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 subsets {x(1),x(2),...,x(k)} of {1,2,...,n} such that all differences |x(i)-x(j)| are distinct. A143823
Triangle, read by rows of n2+1 terms, of coefficients of q in the q-analog of the even double factorials: T(n,k) = [qk] ∏j=1..n (1-q2j)/(1-q) for n>0, with T(0,0)=1. A128084
Doublets: base-10 representation is the juxtaposition of two identical strings. A20338
Numbers > 1000 such that all the substrings of length = 3 are primes (substrings with leading '0' are considered to be nonprime). A211684
a(n) = least k >= 1 such that the remainder when 6k is divided by k is n. A127816
Multiples of 19 containing a 19 in their decimal representation. A121039
Minimal natural number (in decimal representation) with n prime substrings in binary representation (substrings with leading zeros are considered to be nonprime). A217302
Number of reduced words of length n in the Weyl group B6. A161699
Number of integer partitions of n with as many even parts as even conjugate parts. A350948
Number of partitions of n having standard deviation σ < 1. A238616