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12428190 = 2325178123
BaseRepresentation
bin101111011010…
…001110011110
3212101102021100
4233122032132
511140200230
61122213530
7210431535
oct57321636
925342240
1012428190
117019535
1241b42a6
132761b78
14191731c
151157660
hexbda39e

12428190 has 48 divisors (see below), whose sum is σ = 34218288. Its totient is φ = 3118848.

The previous prime is 12428137. The next prime is 12428191. The reversal of 12428190 is 9182421.

It is a super-2 number, since 2×124281902 = 308919813352200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12428191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2532 + ... + 5591.

It is an arithmetic number, because the mean of its divisors is an integer number (712881).

Almost surely, 212428190 is an apocalyptic number.

12428190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12428190 is an abundant number, since it is smaller than the sum of its proper divisors (21790098).

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

12428190 is a wasteful number, since it uses less digits than its factorization.

12428190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8153 (or 8150 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12428190 is about 3525.3638110130. The cubic root of 12428190 is about 231.6341712670.

The spelling of 12428190 in words is "twelve million, four hundred twenty-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 8123 16246 24369 40615 48738 73107 81230 121845 138091 146214 243690 276182 365535 414273 690455 731070 828546 1242819 1380910 2071365 2485638 4142730 6214095 12428190