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12836224 = 27172347
BaseRepresentation
bin110000111101…
…110110000000
3220011010222201
4300331312000
511241224344
61135042544
7214051252
oct60756600
926133881
1012836224
117278055
124370454
1328757cb
1419c1cd2
1511d84d4
hexc3dd80

12836224 has 48 divisors (see below), whose sum is σ = 27243180. Its totient is φ = 6023168.

The previous prime is 12836221. The next prime is 12836227. The reversal of 12836224 is 42263821.

It is an interprime number because it is at equal distance from previous prime (12836221) and next prime (12836227).

It is a junction number, because it is equal to n+sod(n) for n = 12836192 and 12836201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12836221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36819 + ... + 37165.

Almost surely, 212836224 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 12836224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13621590).

12836224 is an abundant number, since it is smaller than the sum of its proper divisors (14406956).

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

12836224 is an equidigital number, since it uses as much as digits as its factorization.

12836224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 366 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 12836224 is about 3582.7676452709. The cubic root of 12836224 is about 234.1418770942.

The spelling of 12836224 in words is "twelve million, eight hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 289 347 544 578 694 1088 1156 1388 2176 2312 2776 4624 5552 5899 9248 11104 11798 18496 22208 23596 36992 44416 47192 94384 100283 188768 200566 377536 401132 755072 802264 1604528 3209056 6418112 12836224