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12824420 = 2257471949
BaseRepresentation
bin110000111010…
…111101100100
3220010112210112
4300322331210
511240340140
61134512152
7214001660
oct60727544
926115715
1012824420
11726a1a4
124365658
13287031b
1419bb8a0
1511d4c65
hexc3af64

12824420 has 48 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 4301184.

The previous prime is 12824389. The next prime is 12824447. The reversal of 12824420 is 2442821.

It is a happy 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, 5606 + ... + 7554.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 212824420 is an apocalyptic number.

12824420 is a gapful number since it is divisible by the number (10) 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 12824420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

12824420 is an abundant number, since it is smaller than the sum of its proper divisors (18625180).

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

12824420 is a wasteful number, since it uses less digits than its factorization.

12824420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 12824420 is about 3581.1199365562. The cubic root of 12824420 is about 234.0700839579.

The spelling of 12824420 in words is "twelve million, eight hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 1949 3290 3898 6580 7796 9745 13643 19490 27286 38980 54572 68215 91603 136430 183206 272860 366412 458015 641221 916030 1282442 1832060 2564884 3206105 6412210 12824420