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14061168 = 2433112269
BaseRepresentation
bin110101101000…
…111001110000
3222110101022000
4311220321300
512044424133
61221214000
7230342442
oct65507160
928411260
1014061168
117a34400
124861300
132bb4224
141c20492
15137b413
hexd68e70

14061168 has 120 divisors (see below), whose sum is σ = 44528400. Its totient is φ = 4245120.

The previous prime is 14061167. The next prime is 14061209. The reversal of 14061168 is 86116041.

14061168 is a `hidden beast` number, since 1 + 40 + 611 + 6 + 8 = 666.

14061168 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14061161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52138 + ... + 52406.

It is an arithmetic number, because the mean of its divisors is an integer number (371070).

Almost surely, 214061168 is an apocalyptic number.

14061168 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 14061168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22264200).

14061168 is an abundant number, since it is smaller than the sum of its proper divisors (30467232).

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

14061168 is a wasteful number, since it uses less digits than its factorization.

14061168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 14061168 is about 3749.8223957942. The cubic root of 14061168 is about 241.3647249812.

The spelling of 14061168 in words is "fourteen million, sixty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 176 198 216 242 264 269 297 363 396 432 484 528 538 594 726 792 807 968 1076 1089 1188 1452 1584 1614 1936 2152 2178 2376 2421 2904 2959 3228 3267 4304 4356 4752 4842 5808 5918 6456 6534 7263 8712 8877 9684 11836 12912 13068 14526 17424 17754 19368 23672 26136 26631 29052 32549 35508 38736 47344 52272 53262 58104 65098 71016 79893 97647 106524 116208 130196 142032 159786 195294 213048 260392 292941 319572 390588 426096 520784 585882 639144 781176 878823 1171764 1278288 1562352 1757646 2343528 3515292 4687056 7030584 14061168