Properties of the Number 40200

Forty Thousand Two Hundred

Basics

Value: 40199 → 40200 → 40201

Parity: even

Prime: No

Previous Prime: 40193

Next Prime: 40213

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 5 ² × 67

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110100001000

Octal: 116410

Duodecimal: 1B320

Hexadecimal: 9d08

Square: 1616040000

Square Root: 200.4993765576342

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

Triangle read by rows: T(n,k) is the number of permutations of [n] having k adjacent 4-cycles (0 <= k <= floor(n/4)), i.e., having k cycles of the form (i, i+1, i+2, i+3). A177252

a(n) is the concatenation of n and 5n. A19553

a(n) = A375516(n)/n. A375517

Ordered differences of factorials. A204930

Lexicographically earliest sequence of distinct positive integers with no finite subset summing to a factorial number (A000142). A353969

Number of partitions where the number of 1's and 2's are equal. A174455

Triangle read by rows: T(n,k) = number of permutations of [n] having exactly one adjacent k-cycle. (n>=1, 1<=k<=n). A370527

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A381574. A381573

a(n) = (1/2)*(n⁴ + 11·n³ + 53·n² + 97·n + 54). A129026

Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k as the last entry in the first block (1<=k<=n). A177263