Properties of the Number 19749

Nineteen Thousand Seven Hundred Forty-Nine

Basics

Value: 19748 → 19749 → 19750

Parity: odd

Prime: No

Previous Prime: 19739

Next Prime: 19751

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 29 × 227

Divisors: 1, 3, 29, 87, 227, 681, 6583, 19749

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100110100100101

Octal: 46445

Duodecimal: B519

Hexadecimal: 4d25

Square: 390023001

Square Root: 140.53113534018004

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

Number of integer partitions of n whose Heinz number (product of primes of parts) is divisible by their sum of primes of parts. A330953

a(n) = ∑_k=0..n k^k·n. A349886

Arithmetic derivative of central binomial coefficients, cf. A000984. A258290

T(n,[ n/2 ]), T given by A026907. A26914

Number of partitions of n into distinct partition numbers. A68006

T(2n-1,n-1), T given by A026907. A26912

G.f.: A(x) = exp( ∑_n>=1 [ ∑_k>=1 σ(k,n)*x^k ]ⁿ/n ). A159595

Ascending sequence of numbers such that the sum of any two distinct elements (even + odd) is a prime number. A180743

a(1) = a(2) = a(3) = a(4) = 1. For n>= 5, a(n) = a(n-1)*a(n-4) + a(n-2)*a(n-3). A111289

Numbers k such that (43·10^k + 101)/9 is prime. A294569