Search a number
-
+
14410116 = 223373389
BaseRepresentation
bin110110111110…
…000110000100
31000010002222000
4312332012010
512142110431
61232505300
7233325000
oct66760604
930102860
1014410116
118152596
1249ab230
132ca6cc6
141cb1700
1513e99e6
hexdbe184

14410116 has 96 divisors (see below), whose sum is σ = 43680000. Its totient is φ = 4106592.

The previous prime is 14410111. The next prime is 14410139. The reversal of 14410116 is 61101441.

14410116 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14410111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36850 + ... + 37238.

It is an arithmetic number, because the mean of its divisors is an integer number (455000).

Almost surely, 214410116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14410116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21840000).

14410116 is an abundant number, since it is smaller than the sum of its proper divisors (29269884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14410116 is a wasteful number, since it uses less digits than its factorization.

14410116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 14410116 is about 3796.0658582274. The cubic root of 14410116 is about 243.3450364464.

Adding to 14410116 its reverse (61101441), we get a palindrome (75511557).

The spelling of 14410116 in words is "fourteen million, four hundred ten thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 389 441 588 686 756 778 882 1029 1167 1323 1372 1556 1764 2058 2334 2646 2723 3087 3501 4116 4668 5292 5446 6174 7002 8169 9261 10503 10892 12348 14004 16338 18522 19061 21006 24507 32676 37044 38122 42012 49014 57183 73521 76244 98028 114366 133427 147042 171549 228732 266854 294084 343098 400281 514647 533708 686196 800562 1029294 1200843 1601124 2058588 2401686 3602529 4803372 7205058 14410116