A126259 Numbers that are divisible by the number of letters in their English name, excluding spaces and hyphens;.

4, 6, 12, 30, 33, 36, 40, 45, 50, 54, 56, 60, 70, 81, 88, 90, 100, 108, 132, 154, 184, 190, 200, 204, 252, 253, 264, 276, 286, 288, 299, 300, 304, 306, 325, 336, 338, 340, 360, 378, 418, 420, 462, 475, 480, 504, 510, 520, 575, 576, 580, 600, 651, 667, 682, 702

Offset

1,1

Comments

This version uses the British English convention of including "and"; see A092320 for the American English version. - Michael S. Branicky, Apr 07 2023

Links

Michael S. Branicky, Table of n, a(n) for n = 1..10000

Example

The word "sixty" has 5 letters and 60 is divisible by 5 (60/5=12), so 60 is included in the list.
"one hundred and eight" has 18 letters and 18*6 = 108, so 108 is a term.

Prog

(Python)
from num2words import num2words
def letts(n): return sum(1 for c in num2words(n) if c.isalpha())
def ok(n): return n and n%letts(n) == 0
print([k for k in range(1000) if ok(k)]) # Michael S. Branicky, Apr 07 2023

Crossrefs

Cf. A005589, A000027, A092320.

Sequence in context: A294489 A344995 A115076 * A068570 A092320 A375197

Adjacent sequences: A126256 A126257 A126258 * A126260 A126261 A126262

Keyword

nonn,word

Author

Jonathan R. Love (japanada11(AT)yahoo.ca), Mar 08 2007

Extensions

Corrected and extended by Sean A. Irvine, Mar 15 2010

Status

approved