23 × 5 × 13 × 23
1, 2, 4, 5, 8, 10, 13, 20, 23, 26, 40, 46, 52, 65, 92, 104, 115, 130, 184, 230, 260, 299, 460, 520, 598, 920, 1196, 1495, 2392, 2990, 5980 and 11960
No.
Its nearest Fibonacci number neighbors are 10946 and 17711.