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12012728 = 2371329569
BaseRepresentation
bin101101110100…
…110010111000
3211121022100212
4231310302320
511033401403
61105250252
7204051350
oct55646270
924538325
1012012728
116865382
124033988
132647a30
141849b60
1510c44d8
hexb74cb8

12012728 has 64 divisors (see below), whose sum is σ = 28728000. Its totient is φ = 4580352.

The previous prime is 12012677. The next prime is 12012743. The reversal of 12012728 is 82721021.

12012728 = 13072 + 13082 + ... + 13132.

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, 20828 + ... + 21396.

It is an arithmetic number, because the mean of its divisors is an integer number (448875).

Almost surely, 212012728 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 12012728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364000).

12012728 is an abundant number, since it is smaller than the sum of its proper divisors (16715272).

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

12012728 is a wasteful number, since it uses less digits than its factorization.

12012728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 12012728 is about 3465.9382568072. The cubic root of 12012728 is about 229.0237639253.

Adding to 12012728 its reverse (82721021), we get a palindrome (94733749).

It can be divided in two parts, 120127 and 28, that multiplied together give a square (3363556 = 18342).

The spelling of 12012728 in words is "twelve million, twelve thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 29 52 56 58 91 104 116 182 203 232 364 377 406 569 728 754 812 1138 1508 1624 2276 2639 3016 3983 4552 5278 7397 7966 10556 14794 15932 16501 21112 29588 31864 33002 51779 59176 66004 103558 115507 132008 207116 214513 231014 414232 429026 462028 858052 924056 1501591 1716104 3003182 6006364 12012728