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12333420 = 22325116229
BaseRepresentation
bin101111000011…
…000101101100
3212012121021100
4233003011230
511124132140
61120203100
7206555331
oct57030554
925177240
1012333420
116a64310
124169490
13272a9a8
1418d0988
151139530
hexbc316c

12333420 has 72 divisors (see below), whose sum is σ = 40818960. Its totient is φ = 2989440.

The previous prime is 12333379. The next prime is 12333437. The reversal of 12333420 is 2433321.

12333420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123334202 = 304226497792800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12333393 and 12333402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1135 + ... + 5094.

It is an arithmetic number, because the mean of its divisors is an integer number (566930).

Almost surely, 212333420 is an apocalyptic number.

12333420 is a gapful number since it is divisible by the number (10) 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 12333420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20409480).

12333420 is an abundant number, since it is smaller than the sum of its proper divisors (28485540).

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

12333420 is a wasteful number, since it uses less digits than its factorization.

12333420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6255 (or 6250 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 12333420 is about 3511.8969233165. The cubic root of 12333420 is about 231.0439001290.

Adding to 12333420 its reverse (2433321), we get a palindrome (14766741).

Subtracting from 12333420 its reverse (2433321), we obtain a palindrome (9900099).

The spelling of 12333420 in words is "twelve million, three hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 6229 12458 18687 24916 31145 37374 56061 62290 68519 74748 93435 112122 124580 137038 186870 205557 224244 274076 280305 342595 373740 411114 560610 616671 685190 822228 1027785 1121220 1233342 1370380 2055570 2466684 3083355 4111140 6166710 12333420