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14295168 = 273212409
BaseRepresentation
bin110110100010…
…000010000000
3222220021021200
4312202002000
512124421133
61230221200
7232335606
oct66420200
928807250
1014295168
118084198
124954800
132c668a4
141c81876
1513c5913
hexda2080

14295168 has 48 divisors (see below), whose sum is σ = 41139150. Its totient is φ = 4764672.

The previous prime is 14295143. The next prime is 14295217. The reversal of 14295168 is 86159241.

It can be written as a sum of positive squares in only one way, i.e., 14197824 + 97344 = 3768^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5053 + ... + 7356.

Almost surely, 214295168 is an apocalyptic number.

14295168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14295168 is an abundant number, since it is smaller than the sum of its proper divisors (26843982).

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

14295168 is a wasteful number, since it uses less digits than its factorization.

14295168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12429 (or 12414 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 14295168 is about 3780.8951321083. The cubic root of 14295168 is about 242.6962622735.

The spelling of 14295168 in words is "fourteen million, two hundred ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 12409 24818 37227 49636 74454 99272 111681 148908 198544 223362 297816 397088 446724 595632 794176 893448 1191264 1588352 1786896 2382528 3573792 4765056 7147584 14295168