Properties of the Number 61020

Sixty-One Thousand Twenty

Basics

Value: 61019 → 61020 → 61021

Parity: even

Prime: No

Previous Prime: 61007

Next Prime: 61027

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 5 × 113

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110111001011100

Octal: 167134

Duodecimal: 2B390

Hexadecimal: ee5c

Square: 3723440400

Square Root: 247.02226620286683

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

Dirichlet inverse of function f(n) = 1+(A003415(n)*A276086(n)), where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function. A359603

McKay-Thompson series of class 6D for the Monster group with a(0) = -4. A121667

Diagonal of rational function 1/(1 - (1 + x·y*z) * (x³ + y³ + z³)). A361730

McKay-Thompson series of class 6D for Monster. A7257

McKay-Thompson series of class 6D for Monster with a(0) = 1. A45487

McKay-Thompson series of class 18B for the Monster group. A58532

McKay-Thompson series of class 18B for the Monster group with a(0) = 2. A215407

McKay-Thompson series of class 18B for the Monster group with a(0) = 5. A215660

Number of terms in the cycle index Z(S_n X S_n) of the Cartesian product of the symmetric group S_n with itself that contain q cycles, where 1 <= q <= n·n. (Triangular array.) A279514

Exponential (2,4)-perfect numbers: numbers m such that esigma(esigma(m)) = 4m, where esigma(m) is the sum of exponential divisors of m (A051377). A328133