211 × 5
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2048, 2560, 5120 and 10240
No.
Its nearest Fibonacci number neighbors are 6765 and 10946.