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14364168 = 2337136577
BaseRepresentation
bin110110110010…
…111000001000
31000000202221020
4312302320020
512134123133
61231512440
7233044020
oct66627010
930022836
1014364168
118121015
124988720
132c8c110
141c9ca80
1513db0b3
hexdb2e08

14364168 has 64 divisors (see below), whose sum is σ = 44204160. Its totient is φ = 3787776.

The previous prime is 14364149. The next prime is 14364179. The reversal of 14364168 is 86146341.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1105 + ... + 5472.

It is an arithmetic number, because the mean of its divisors is an integer number (690690).

Almost surely, 214364168 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 14364168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22102080).

14364168 is an abundant number, since it is smaller than the sum of its proper divisors (29839992).

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

14364168 is a wasteful number, since it uses less digits than its factorization.

14364168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6606 (or 6602 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 14364168 is about 3790.0089709656. The cubic root of 14364168 is about 243.0861182681.

The spelling of 14364168 in words is "fourteen million, three hundred sixty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 6577 13154 19731 26308 39462 46039 52616 78924 85501 92078 138117 157848 171002 184156 256503 276234 342004 368312 513006 552468 598507 684008 1026012 1104936 1197014 1795521 2052024 2394028 3591042 4788056 7182084 14364168