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20671008 = 2531631321
BaseRepresentation
bin100111011011…
…0101000100000
31102220012021220
41032312220200
520242433013
62015015040
7340462221
oct116665040
942805256
1020671008
1110739486
126b0a480
134389987
142a61248
151c34b23
hex13b6a20

20671008 has 48 divisors (see below), whose sum is σ = 54635616. Its totient is φ = 6842880.

The previous prime is 20670989. The next prime is 20671019. The reversal of 20671008 is 80017602.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 14988 + ... + 16308.

It is an arithmetic number, because the mean of its divisors is an integer number (1138242).

Almost surely, 220671008 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 20671008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27317808).

20671008 is an abundant number, since it is smaller than the sum of its proper divisors (33964608).

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

20671008 is a wasteful number, since it uses less digits than its factorization.

20671008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 20671008 is about 4546.5380235955. The cubic root of 20671008 is about 274.4440913206. Note that the first 3 decimals are identical.

The spelling of 20671008 in words is "twenty million, six hundred seventy-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1321 1956 2608 2642 3912 3963 5216 5284 7824 7926 10568 15648 15852 21136 31704 42272 63408 126816 215323 430646 645969 861292 1291938 1722584 2583876 3445168 5167752 6890336 10335504 20671008