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12378420 = 22375283
BaseRepresentation
bin101111001110…
…000100110100
3212021220000000
4233032010310
511132102140
61121151300
7210133455
oct57160464
925256000
1012378420
116a950aa
12418b530
132745312
14190312c
151147a30
hexbce134

12378420 has 96 divisors (see below), whose sum is σ = 39123840. Its totient is φ = 3289248.

The previous prime is 12378419. The next prime is 12378427. The reversal of 12378420 is 2487321.

12378420 is a `hidden beast` number, since 1 + 237 + 8 + 420 = 666.

12378420 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12378427) 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, 43599 + ... + 43881.

It is an arithmetic number, because the mean of its divisors is an integer number (407540).

Almost surely, 212378420 is an apocalyptic number.

12378420 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 12378420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19561920).

12378420 is an abundant number, since it is smaller than the sum of its proper divisors (26745420).

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

12378420 is an equidigital number, since it uses as much as digits as its factorization.

12378420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12378420 is about 3518.2978839206. The cubic root of 12378420 is about 231.3245564323.

The spelling of 12378420 in words is "twelve million, three hundred seventy-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 283 324 405 486 540 566 729 810 849 972 1132 1215 1415 1458 1620 1698 2187 2430 2547 2830 2916 3396 3645 4245 4374 4860 5094 5660 7290 7641 8490 8748 10188 10935 12735 14580 15282 16980 21870 22923 25470 30564 38205 43740 45846 50940 68769 76410 91692 114615 137538 152820 206307 229230 275076 343845 412614 458460 618921 687690 825228 1031535 1237842 1375380 2063070 2475684 3094605 4126140 6189210 12378420