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12834828 = 2233235167
BaseRepresentation
bin110000111101…
…100000001100
3220011002002000
4300331200030
511241203303
61135032300
7214044216
oct60754014
926132060
1012834828
117276aa6
12436b690
132874c96
1419c15b6
1511d7da3
hexc3d80c

12834828 has 48 divisors (see below), whose sum is σ = 34728960. Its totient is φ = 4091472.

The previous prime is 12834821. The next prime is 12834839. The reversal of 12834828 is 82843821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12834792 and 12834801.

It is not an unprimeable number, because it can be changed into a prime (12834821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100 + ... + 5067.

It is an arithmetic number, because the mean of its divisors is an integer number (723520).

Almost surely, 212834828 is an apocalyptic number.

12834828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12834828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17364480).

12834828 is an abundant number, since it is smaller than the sum of its proper divisors (21894132).

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

12834828 is a wasteful number, since it uses less digits than its factorization.

12834828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5203 (or 5195 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 12834828 is about 3582.5728185202. The cubic root of 12834828 is about 234.1333887747.

The spelling of 12834828 in words is "twelve million, eight hundred thirty-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 5167 10334 15501 20668 31002 46503 62004 93006 118841 139509 186012 237682 279018 356523 475364 558036 713046 1069569 1426092 2139138 3208707 4278276 6417414 12834828