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20796288 = 273311747
BaseRepresentation
bin100111101010…
…1001110000000
31110010120010220
41033111032000
520310440123
62021423040
7341523402
oct117251600
943116126
1020796288
1110814617
126b6aa80
1344019c6
142a94b72
151c5bce3
hex13d5380

20796288 has 64 divisors (see below), whose sum is σ = 57054720. Its totient is φ = 6704640.

The previous prime is 20796283. The next prime is 20796323. The reversal of 20796288 is 88269702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20796283) 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, 11031 + ... + 12777.

It is an arithmetic number, because the mean of its divisors is an integer number (891480).

Almost surely, 220796288 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 20796288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28527360).

20796288 is an abundant number, since it is smaller than the sum of its proper divisors (36258432).

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

20796288 is a wasteful number, since it uses less digits than its factorization.

20796288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 20796288 is about 4560.2947273175. The cubic root of 20796288 is about 274.9974126478.

The spelling of 20796288 in words is "twenty million, seven hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1747 1984 2976 3494 3968 5241 5952 6988 10482 11904 13976 20964 27952 41928 54157 55904 83856 108314 111808 162471 167712 216628 223616 324942 335424 433256 649884 670848 866512 1299768 1733024 2599536 3466048 5199072 6932096 10398144 20796288