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12020768 = 2517191163
BaseRepresentation
bin101101110110…
…110000100000
3211121201101122
4231312300200
511034131033
61105351412
7204113654
oct55666040
924551348
1012020768
116870421
124038568
13264b5a6
14184ca64
1510c6a98
hexb76c20

12020768 has 48 divisors (see below), whose sum is σ = 26399520. Its totient is φ = 5354496.

The previous prime is 12020759. The next prime is 12020851. The reversal of 12020768 is 86702021.

It is a super-3 number, since 3×120207683 (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9755 + ... + 10917.

It is an arithmetic number, because the mean of its divisors is an integer number (549990).

Almost surely, 212020768 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 12020768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199760).

12020768 is an abundant number, since it is smaller than the sum of its proper divisors (14378752).

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

12020768 is a wasteful number, since it uses less digits than its factorization.

12020768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 12020768 is about 3467.0979218938. The cubic root of 12020768 is about 229.0748469770.

Adding to 12020768 its reverse (86702021), we get a palindrome (98722789).

The spelling of 12020768 in words is "twelve million, twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1163 1292 2326 2584 4652 5168 9304 10336 18608 19771 22097 37216 39542 44194 79084 88388 158168 176776 316336 353552 375649 632672 707104 751298 1502596 3005192 6010384 12020768