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12366420 = 22351141457
BaseRepresentation
bin101111001011…
…001001010100
3212021021112120
4233023021110
511131211140
61121015540
7210053463
oct57131124
925237476
1012366420
116a87090
1241845b0
13273ca11
1418dc9da
1511441d0
hexbcb254

12366420 has 96 divisors (see below), whose sum is σ = 38779776. Its totient is φ = 2918400.

The previous prime is 12366407. The next prime is 12366421. The reversal of 12366420 is 2466321.

12366420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12366421) 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, 26832 + ... + 27288.

It is an arithmetic number, because the mean of its divisors is an integer number (403956).

Almost surely, 212366420 is an apocalyptic number.

12366420 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 12366420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19389888).

12366420 is an abundant number, since it is smaller than the sum of its proper divisors (26413356).

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

12366420 is a wasteful number, since it uses less digits than its factorization.

12366420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 12366420 is about 3516.5921003153. The cubic root of 12366420 is about 231.2497813487.

Subtracting from 12366420 its reverse (2466321), we obtain a palindrome (9900099).

The spelling of 12366420 in words is "twelve million, three hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 110 123 132 164 165 205 220 246 330 410 451 457 492 615 660 820 902 914 1230 1353 1371 1804 1828 2255 2285 2460 2706 2742 4510 4570 5027 5412 5484 6765 6855 9020 9140 10054 13530 13710 15081 18737 20108 25135 27060 27420 30162 37474 50270 56211 60324 74948 75405 93685 100540 112422 150810 187370 206107 224844 281055 301620 374740 412214 562110 618321 824428 1030535 1124220 1236642 2061070 2473284 3091605 4122140 6183210 12366420