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20768016 = 2431731821
BaseRepresentation
bin100111100111…
…0010100010000
31110002010100210
41033032110100
520304034031
62021044120
7341345103
oct117162420
943063323
1020768016
11107a5355
126b56640
1343c1b89
142a8873a
151c53746
hex13ce510

20768016 has 80 divisors (see below), whose sum is σ = 58710528. Its totient is φ = 6297600.

The previous prime is 20768009. The next prime is 20768021. The reversal of 20768016 is 61086702.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 24886 + ... + 25706.

Almost surely, 220768016 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 20768016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29355264).

20768016 is an abundant number, since it is smaller than the sum of its proper divisors (37942512).

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

20768016 is a wasteful number, since it uses less digits than its factorization.

20768016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 20768016 is about 4557.1938734269. The cubic root of 20768016 is about 274.8727389129.

The spelling of 20768016 in words is "twenty million, seven hundred sixty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 496 527 744 816 821 1054 1488 1581 1642 2108 2463 3162 3284 4216 4926 6324 6568 8432 9852 12648 13136 13957 19704 25296 25451 27914 39408 41871 50902 55828 76353 83742 101804 111656 152706 167484 203608 223312 305412 334968 407216 432667 610824 669936 865334 1221648 1298001 1730668 2596002 3461336 5192004 6922672 10384008 20768016