Search a number
-
+
12338235 = 32571323131
BaseRepresentation
bin101111000100…
…010000111011
3212012211212200
4233010100323
511124310420
61120241243
7206605350
oct57042073
925184780
1012338235
116a67998
124170223
13272cc40
1418d2627
15113ab90
hexbc443b

12338235 has 96 divisors (see below), whose sum is σ = 27675648. Its totient is φ = 4942080.

The previous prime is 12338233. The next prime is 12338273. The reversal of 12338235 is 53283321.

12338235 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12338235 - 21 = 12338233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12338199 and 12338208.

It is not an unprimeable number, because it can be changed into a prime (12338233) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94120 + ... + 94250.

It is an arithmetic number, because the mean of its divisors is an integer number (288288).

Almost surely, 212338235 is an apocalyptic number.

12338235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12338235 is an abundant number, since it is smaller than the sum of its proper divisors (15337413).

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

12338235 is a wasteful number, since it uses less digits than its factorization.

12338235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 182 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 12338235 is about 3512.5823833755. The cubic root of 12338235 is about 231.0739629350.

The spelling of 12338235 in words is "twelve million, three hundred thirty-eight thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 23 35 39 45 63 65 69 91 105 115 117 131 161 195 207 273 299 315 345 393 455 483 585 655 805 819 897 917 1035 1179 1365 1449 1495 1703 1965 2093 2415 2691 2751 3013 4095 4485 4585 5109 5895 6279 7245 8253 8515 9039 10465 11921 13455 13755 15065 15327 18837 21091 25545 27117 31395 35763 39169 41265 45195 59605 63273 76635 94185 105455 107289 117507 135585 178815 189819 195845 274183 316365 352521 536445 587535 822549 949095 1370915 1762605 2467647 4112745 12338235