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12135830 = 257224767
BaseRepresentation
bin101110010010…
…110110010110
3211211120020012
4232102312112
511101321310
61112040222
7205103300
oct56226626
924746205
1012135830
116939913
124093072
13268ba85
14187c970
1510eac05
hexb92d96

12135830 has 24 divisors (see below), whose sum is σ = 25411968. Its totient is φ = 4160688.

The previous prime is 12135821. The next prime is 12135853. The reversal of 12135830 is 3853121.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12135796 and 12135805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11894 + ... + 12873.

It is an arithmetic number, because the mean of its divisors is an integer number (1058832).

Almost surely, 212135830 is an apocalyptic number.

12135830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12135830 is an abundant number, since it is smaller than the sum of its proper divisors (13276138).

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

12135830 is a wasteful number, since it uses less digits than its factorization.

12135830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24788 (or 24781 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 12135830 is about 3483.6518195710. The cubic root of 12135830 is about 229.8034237206.

Adding to 12135830 its reverse (3853121), we get a palindrome (15988951).

The spelling of 12135830 in words is "twelve million, one hundred thirty-five thousand, eight hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 24767 49534 123835 173369 247670 346738 866845 1213583 1733690 2427166 6067915 12135830