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12842214 = 2372112192
BaseRepresentation
bin110000111111…
…010011100110
3220011110012120
4300333103212
511241422324
61135130410
7214104600
oct60772346
926143176
1012842214
117281600
124373a06
132878458
1419c4170
1511da179
hexc3f4e6

12842214 has 108 divisors (see below), whose sum is σ = 34660332. Its totient is φ = 3160080.

The previous prime is 12842209. The next prime is 12842237. The reversal of 12842214 is 41224821.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 675897 + ... + 675915.

It is an arithmetic number, because the mean of its divisors is an integer number (320929).

Almost surely, 212842214 is an apocalyptic number.

12842214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12842214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17330166).

12842214 is an abundant number, since it is smaller than the sum of its proper divisors (21818118).

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

12842214 is a wasteful number, since it uses less digits than its factorization.

12842214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 42 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 12842214 is about 3583.6034936918. The cubic root of 12842214 is about 234.1782920539.

Multiplying 12842214 by its sum of digits (24), we get a square (308213136 = 175562).

The spelling of 12842214 in words is "twelve million, eight hundred forty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 49 57 66 77 98 114 121 133 147 154 209 231 242 266 294 361 363 399 418 462 539 627 722 726 798 847 931 1078 1083 1254 1463 1617 1694 1862 2166 2299 2527 2541 2793 2926 3234 3971 4389 4598 5054 5082 5586 5929 6897 7581 7942 8778 10241 11858 11913 13794 15162 16093 17689 17787 20482 23826 27797 30723 32186 35378 35574 43681 48279 53067 55594 61446 83391 87362 96558 106134 112651 131043 166782 194579 225302 262086 305767 337953 389158 583737 611534 675906 917301 1167474 1834602 2140369 4280738 6421107 12842214