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12135156 = 22311149617
BaseRepresentation
bin101110010010…
…101011110100
3211211112022020
4232102223310
511101311111
61112033140
7205101315
oct56225364
924745266
1012135156
116939360
1240927b0
13268b687
14187c60c
1510ea906
hexb92af4

12135156 has 48 divisors (see below), whose sum is σ = 31147200. Its totient is φ = 3646720.

The previous prime is 12135143. The next prime is 12135163. The reversal of 12135156 is 65153121.

It is a super-2 number, since 2×121351562 = 294524022288672, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 19360 + ... + 19976.

It is an arithmetic number, because the mean of its divisors is an integer number (648900).

Almost surely, 212135156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12135156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15573600).

12135156 is an abundant number, since it is smaller than the sum of its proper divisors (19012044).

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

12135156 is a wasteful number, since it uses less digits than its factorization.

12135156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 782 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 12135156 is about 3483.5550806611. Note that the first 3 decimals coincide. The cubic root of 12135156 is about 229.7991693659.

Adding to 12135156 its reverse (65153121), we get a palindrome (77288277).

The spelling of 12135156 in words is "twelve million, one hundred thirty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 149 298 447 596 617 894 1234 1639 1788 1851 2468 3278 3702 4917 6556 6787 7404 9834 13574 19668 20361 27148 40722 81444 91933 183866 275799 367732 551598 1011263 1103196 2022526 3033789 4045052 6067578 12135156