Properties of the Number 54000

Fifty-Four Thousand

Basics

Value: 53999 → 54000 → 54001

Parity: even

Prime: No

Previous Prime: 53993

Next Prime: 54001

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ³ × 5 ³

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

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1101001011110000

Octal: 151360

Duodecimal: 27300

Hexadecimal: d2f0

Square: 2916000000

Square Root: 232.379000772445

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Expansion of g.f.: (1+x)/(1-15·x). A170735

a(n) = 2·n³. A33431

Expansion of 1/(1 - x - x² + x⁷ - x⁹). A225394

Numbers k such that ∑_j p_j = ∑_j e_j where ∏_j p_j^e_j is the prime factorization of k. A54411

Heinz numbers of Look-and-Say partitions without distinct multiplicities (non Wilf). A384006

Cubefull Achilles numbers. A388293

Products of primorials that are squareful but not prime powers. A364930

Numbers k with the property that k is a substring of its base-6 representation. A38106

T(n,k) = Number of n X k arrays containing k copies of 0..n-1 with row sums equal. A268367

Set of positions of first appearances in A382857 (permutations of prime indices with equal run-lengths). A382878