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20764768 = 252389317
BaseRepresentation
bin100111100110…
…1100001100000
31110001221220111
41033031201200
520303433033
62021021104
7341332453
oct117154140
943057814
1020764768
11107a2972
126b54794
1343c055b
142a8749a
151c527cd
hex13cd860

20764768 has 48 divisors (see below), whose sum is σ = 43273440. Its totient is φ = 9788416.

The previous prime is 20764763. The next prime is 20764771. The reversal of 20764768 is 86746702.

It is a self number, because there is not a number n which added to its sum of digits gives 20764768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20764763) 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 7 ways as a sum of consecutive naturals, for example, 65346 + ... + 65662.

It is an arithmetic number, because the mean of its divisors is an integer number (901530).

Almost surely, 220764768 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 20764768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21636720).

20764768 is an abundant number, since it is smaller than the sum of its proper divisors (22508672).

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

20764768 is a wasteful number, since it uses less digits than its factorization.

20764768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 20764768 is about 4556.8374998457. The cubic root of 20764768 is about 274.8584086530.

The spelling of 20764768 in words is "twenty million, seven hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 89 92 178 184 317 356 368 634 712 736 1268 1424 2047 2536 2848 4094 5072 7291 8188 10144 14582 16376 28213 29164 32752 56426 58328 65504 112852 116656 225704 233312 451408 648899 902816 1297798 2595596 5191192 10382384 20764768