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20823168 = 273211257
BaseRepresentation
bin100111101101…
…1110010000000
31110011221000110
41033123302000
520312320133
62022151320
7341664642
oct117336200
943157013
1020823168
1110832833
126b82540
134411002
142aa0892
151c64c63
hex13dbc80

20823168 has 64 divisors (see below), whose sum is σ = 55789920. Its totient is φ = 6881280.

The previous prime is 20823167. The next prime is 20823169. The reversal of 20823168 is 86132802.

It is an interprime number because it is at equal distance from previous prime (20823167) and next prime (20823169).

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

It is not an unprimeable number, because it can be changed into a prime (20823167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80896 + ... + 81152.

Almost surely, 220823168 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 20823168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27894960).

20823168 is an abundant number, since it is smaller than the sum of its proper divisors (34966752).

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

20823168 is a wasteful number, since it uses less digits than its factorization.

20823168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 20823168 is about 4563.2409535329. The cubic root of 20823168 is about 275.1158432054.

The spelling of 20823168 in words is "twenty million, eight hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 211 257 384 422 514 633 771 844 1028 1266 1542 1688 2056 2532 3084 3376 4112 5064 6168 6752 8224 10128 12336 13504 16448 20256 24672 27008 32896 40512 49344 54227 81024 98688 108454 162681 216908 325362 433816 650724 867632 1301448 1735264 2602896 3470528 5205792 6941056 10411584 20823168