Properties of the Number 36720

Thirty-Six Thousand Seven Hundred Twenty

Basics

Value: 36719 → 36720 → 36721

Parity: even

Prime: No

Previous Prime: 36713

Next Prime: 36721

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ³ × 5 × 17

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111101110000

Octal: 107560

Duodecimal: 19300

Hexadecimal: 8f70

Square: 1348358400

Square Root: 191.62463307205576

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

Infinitary perfect numbers. A7357

Triangle read by rows. A generalization of unsigned Lah numbers, called L[4,1]. A48854

Infinitary harmonic numbers: harmonic mean of infinitary divisors is an integer. A63947

a(n) = n*(n + 1)*(n + 2)*(n + 3)/2. A33486

Even legs of Pythagorean triangles whose other leg and hypotenuse are both prime. A67755

Smallest k such that the minimal factor in factorization of k! over distinct terms of A050376 is A050376(n), or a(n) = 0 if there is no such k. A240905

A multiplicative encoding for the exponents of 2 obtained when using Shevelev's algorithm for computing A002326. A292239

Tri-unitary perfect numbers: numbers k such that tsigma(k) = 2k, where tsigma(k) is the sum of the tri-unitary divisors of k (A324706). A324707

Let sigma_m (n) be result of applying sum-of-divisors function m times to n; call n (m,k)-perfect if sigma_m (n) = k·n; sequence gives the (4,k)-perfect numbers. A19293

Positions of records in A356018, i.e., integers whose number of evil divisors sets a new record. A356020