Search a number
-
+
14196168 = 2333741229
BaseRepresentation
bin110110001001…
…110111001000
3222201020111000
4312021313020
512113234133
61224135000
7231444150
oct66116710
928636430
1014196168
118016878
124907460
132c307cc
141c57760
1513a6413
hexd89dc8

14196168 has 128 divisors (see below), whose sum is σ = 46368000. Its totient is φ = 3939840.

The previous prime is 14196157. The next prime is 14196191. The reversal of 14196168 is 86169141.

It is a happy number.

14196168 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61878 + ... + 62106.

It is an arithmetic number, because the mean of its divisors is an integer number (362250).

Almost surely, 214196168 is an apocalyptic number.

14196168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14196168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23184000).

14196168 is an abundant number, since it is smaller than the sum of its proper divisors (32171832).

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

14196168 is a wasteful number, since it uses less digits than its factorization.

14196168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 14196168 is about 3767.7802483691. The cubic root of 14196168 is about 242.1347063253.

The spelling of 14196168 in words is "fourteen million, one hundred ninety-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 108 123 126 164 168 189 216 229 246 252 287 328 369 378 458 492 504 574 687 738 756 861 916 984 1107 1148 1374 1476 1512 1603 1722 1832 2061 2214 2296 2583 2748 2952 3206 3444 4122 4428 4809 5166 5496 6183 6412 6888 7749 8244 8856 9389 9618 10332 12366 12824 14427 15498 16488 18778 19236 20664 24732 28167 28854 30996 37556 38472 43281 49464 56334 57708 61992 65723 75112 84501 86562 112668 115416 131446 169002 173124 197169 225336 253503 262892 338004 346248 394338 507006 525784 591507 676008 788676 1014012 1183014 1577352 1774521 2028024 2366028 3549042 4732056 7098084 14196168