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20833728 = 263195711
BaseRepresentation
bin100111101111…
…0010111000000
31110012110111120
41033132113000
520313134403
62022312240
7342040506
oct117362700
943173446
1020833728
111083a763
126b88680
134415a66
142aa4676
151c67e53
hex13de5c0

20833728 has 56 divisors (see below), whose sum is σ = 58033920. Its totient is φ = 6577920.

The previous prime is 20833723. The next prime is 20833759. The reversal of 20833728 is 82733802.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20833723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 793 + ... + 6503.

It is an arithmetic number, because the mean of its divisors is an integer number (1036320).

Almost surely, 220833728 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 20833728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29016960).

20833728 is an abundant number, since it is smaller than the sum of its proper divisors (37200192).

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

20833728 is a wasteful number, since it uses less digits than its factorization.

20833728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 20833728 is about 4564.3978792388. The cubic root of 20833728 is about 275.1623416111.

The spelling of 20833728 in words is "twenty million, eight hundred thirty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 5711 11422 17133 22844 34266 45688 68532 91376 108509 137064 182752 217018 274128 325527 365504 434036 548256 651054 868072 1096512 1302108 1736144 2604216 3472288 5208432 6944576 10416864 20833728