Search a number
-
+
12854268 = 223373347
BaseRepresentation
bin110001000010…
…001111111100
3220012001202000
4301002033330
511242314033
61135302300
7214155000
oct61021774
926161660
1012854268
11728a669
12437a990
132880a9b
1419c8700
1511dda13
hexc423fc

12854268 has 96 divisors (see below), whose sum is σ = 38976000. Its totient is φ = 3662064.

The previous prime is 12854267. The next prime is 12854273. The reversal of 12854268 is 86245821.

12854268 is digitally balanced in base 2, because in such base 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12854267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36871 + ... + 37217.

It is an arithmetic number, because the mean of its divisors is an integer number (406000).

Almost surely, 212854268 is an apocalyptic number.

12854268 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 12854268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19488000).

12854268 is an abundant number, since it is smaller than the sum of its proper divisors (26121732).

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

12854268 is a wasteful number, since it uses less digits than its factorization.

12854268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 359 counting only the distinct ones).

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

The square root of 12854268 is about 3585.2849259159. The cubic root of 12854268 is about 234.2515375347.

The spelling of 12854268 in words is "twelve million, eight hundred fifty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 347 378 441 588 686 694 756 882 1029 1041 1323 1372 1388 1764 2058 2082 2429 2646 3087 3123 4116 4164 4858 5292 6174 6246 7287 9261 9369 9716 12348 12492 14574 17003 18522 18738 21861 29148 34006 37044 37476 43722 51009 65583 68012 87444 102018 119021 131166 153027 204036 238042 262332 306054 357063 459081 476084 612108 714126 918162 1071189 1428252 1836324 2142378 3213567 4284756 6427134 12854268