Properties of the Number 37820

Thirty-Seven Thousand Eight Hundred Twenty

Basics

Value: 37819 → 37820 → 37821

Parity: even

Prime: No

Previous Prime: 37813

Next Prime: 37831

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5 × 31 × 61

Divisors: 1, 2, 4, 5, 10, 20, 31, 61, 62, 122

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: Yes

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Representations

Binary: 1001001110111100

Octal: 111674

Duodecimal: 19A78

Hexadecimal: 93bc

Square: 1430352400

Square Root: 194.47364860052377

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

Numbers k such that (266·10^k + 1)/3 is prime. A269303

Sum of the first n even squares: a(n) = 2·n*(n+1)*(2·n+1)/3. A2492

G.f. satisfies: A(x) = Series_Reversion(x - x²*A'(x)). A229619

Numbers n such that uphi(n) = uphi(n+1), where uphi(n) is the unitary totient function (A047994). A287055

1/6 of product of three numbers: n-th prime, previous and following number. A127920

Numbers k such that A206369(k) = A206369(k + 1). A206368

Numbers k such that iphi(k) = iphi(k+1), where iphi(k) is an infinitary analog to the Euler totient function (A091732). A326403

a(n) = binomial(3·n+2,3). A228888

Smallest Fibonacci number that has n as a factor, divided by n. A37943

The least nonsquarefree number on row n of Pascal's triangle, or 1 if all the terms on that row are squarefree. A249716