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12011328 = 26347331
BaseRepresentation
bin101101110100…
…011101000000
3211121020110000
4231310131000
511033330303
61105240000
7204044310
oct55643500
924536400
1012011328
11686431a
124033000
1326471c4
141849440
1510c3da3
hexb74740

12011328 has 140 divisors (see below), whose sum is σ = 40814752. Its totient is φ = 3421440.

The previous prime is 12011323. The next prime is 12011357. The reversal of 12011328 is 82311021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 12011328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011323) 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 19 ways as a sum of consecutive naturals, for example, 36123 + ... + 36453.

Almost surely, 212011328 is an apocalyptic number.

12011328 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 12011328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20407376).

12011328 is an abundant number, since it is smaller than the sum of its proper divisors (28803424).

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

12011328 is an equidigital number, since it uses as much as digits as its factorization.

12011328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12011328 is about 3465.7362854089. The cubic root of 12011328 is about 229.0148665367.

Adding to 12011328 its reverse (82311021), we get a palindrome (94322349).

The spelling of 12011328 in words is "twelve million, eleven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 331 336 378 432 448 504 567 576 648 662 672 756 864 993 1008 1134 1296 1324 1344 1512 1728 1986 2016 2268 2317 2592 2648 2979 3024 3972 4032 4536 4634 5184 5296 5958 6048 6951 7944 8937 9072 9268 10592 11916 12096 13902 15888 17874 18144 18536 20853 21184 23832 26811 27804 31776 35748 36288 37072 41706 47664 53622 55608 62559 63552 71496 74144 83412 95328 107244 111216 125118 142992 148288 166824 187677 190656 214488 222432 250236 285984 333648 375354 428976 444864 500472 571968 667296 750708 857952 1000944 1334592 1501416 1715904 2001888 3002832 4003776 6005664 12011328