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12203828 = 2271322579
BaseRepresentation
bin101110100011…
…011100110100
3211222000111122
4232203130310
511111010303
61113323112
7205505450
oct56433464
924860448
1012203828
116985a0a
124106498
1326b3a00
141899660
151110e38
hexba3734

12203828 has 36 divisors (see below), whose sum is σ = 26439840. Its totient is φ = 4826016.

The previous prime is 12203803. The next prime is 12203831. The reversal of 12203828 is 82830221.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 12203797 and 12203806.

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, 3443 + ... + 6021.

It is an arithmetic number, because the mean of its divisors is an integer number (734440).

Almost surely, 212203828 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 12203828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219920).

12203828 is an abundant number, since it is smaller than the sum of its proper divisors (14236012).

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

12203828 is a wasteful number, since it uses less digits than its factorization.

12203828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 12203828 is about 3493.3977729426. The cubic root of 12203828 is about 230.2318267450.

It can be divided in two parts, 12203 and 828, that added together give a palindrome (13031).

The spelling of 12203828 in words is "twelve million, two hundred three thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 1183 2366 2579 4732 5158 10316 18053 33527 36106 67054 72212 134108 234689 435851 469378 871702 938756 1743404 3050957 6101914 12203828