Step 1: Understanding the Concept
Lanthanoids show the lanthanoid contraction and form ions that are large and strongly hydrated.
Step 2: Check each statement
Only promethium is radioactive among them, so (A) is correct.
Atomic and ionic radii decrease from La to Lu, so (B) is correct.
Lanthanide ions bind water readily, so (C) is correct.
Step 3: The incorrect statement
Because the ions are large, lanthanides usually show high coordination numbers such as 8 or 9, not less than 6. So (D) is incorrect.
Final Answer:
The incorrect statement is that coordination numbers are usually less than 6.
\[ \boxed{\text{(D) }\text{Coordination numbers usually less than 6.}} \]