For her 16th birthday, Kate receives a book. On each page whose digits sum to 16, there is one word of a secret birthday message written in the margin. If the book is 580 pages, how many words are in the secret birthday message?
79 , 88 , 97 , 169 , 178 , 187 , 196 , 259 , 268 , 277 , 286 , 295 , 349 , 358 , 367 , 376 , 385 , 394 , 439 , 448 , 457 , 466 , 475 , 484 , 493 , 529 , 538 , 547 , 556 , 565 , 574 , Total Num = 31 words in her birthday message.
