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14258268 = 223514669
BaseRepresentation
bin110110011001…
…000001011100
3222211101200000
4312121001130
512122231033
61225334300
7232123203
oct66310134
928741600
1014258268
1180594a2
124937390
132c52b5b
141c7223a
1513b9a13
hexd9905c

14258268 has 36 divisors (see below), whose sum is σ = 37379160. Its totient is φ = 4752432.

The previous prime is 14258263. The next prime is 14258311. The reversal of 14258268 is 86285241.

14258268 is a `hidden beast` number, since 14 + 2 + 582 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14258263) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6363 + ... + 8306.

It is an arithmetic number, because the mean of its divisors is an integer number (1038310).

Almost surely, 214258268 is an apocalyptic number.

14258268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14258268 is an abundant number, since it is smaller than the sum of its proper divisors (23120892).

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

14258268 is a wasteful number, since it uses less digits than its factorization.

14258268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14688 (or 14674 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 14258268 is about 3776.0121821837. The cubic root of 14258268 is about 242.4872590465.

The spelling of 14258268 in words is "fourteen million, two hundred fifty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 14669 29338 44007 58676 88014 132021 176028 264042 396063 528084 792126 1188189 1584252 2376378 3564567 4752756 7129134 14258268