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20733168 = 243617397
BaseRepresentation
bin100111100010…
…1110011110000
31110000100120010
41033011303300
520301430133
62020214520
7341141361
oct117056360
943010503
1020733168
1110781155
126b3a440
1343ac061
142a79b68
151c48263
hex13c5cf0

20733168 has 80 divisors (see below), whose sum is σ = 55753376. Its totient is φ = 6635520.

The previous prime is 20733137. The next prime is 20733191. The reversal of 20733168 is 86133702.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 213696 + ... + 213792.

Almost surely, 220733168 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 20733168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27876688).

20733168 is an abundant number, since it is smaller than the sum of its proper divisors (35020208).

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

20733168 is a wasteful number, since it uses less digits than its factorization.

20733168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 20733168 is about 4553.3688627213. The cubic root of 20733168 is about 274.7189105804.

The spelling of 20733168 in words is "twenty million, seven hundred thirty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 73 97 122 146 183 194 219 244 291 292 366 388 438 488 582 584 732 776 876 976 1164 1168 1464 1552 1752 2328 2928 3504 4453 4656 5917 7081 8906 11834 13359 14162 17751 17812 21243 23668 26718 28324 35502 35624 42486 47336 53436 56648 71004 71248 84972 94672 106872 113296 142008 169944 213744 284016 339888 431941 863882 1295823 1727764 2591646 3455528 5183292 6911056 10366584 20733168