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20686848 = 211371337
BaseRepresentation
bin100111011101…
…0100000000000
31102221000000120
41032322200000
520243434343
62015220240
7340556340
oct116724000
942830016
1020686848
111074a376
126b17680
134393c50
142a66d20
151c39683
hex13ba800

20686848 has 192 divisors, whose sum is σ = 69713280. Its totient is φ = 5308416.

The previous prime is 20686847. The next prime is 20686871. The reversal of 20686848 is 84868602.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (20686843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559086 + ... + 559122.

It is an arithmetic number, because the mean of its divisors is an integer number (363090).

Almost surely, 220686848 is an apocalyptic number.

20686848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20686848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34856640).

20686848 is an abundant number, since it is smaller than the sum of its proper divisors (49026432).

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

20686848 is a wasteful number, since it uses less digits than its factorization.

20686848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 20686848 is about 4548.2796747781. The cubic root of 20686848 is about 274.5141747353.

The spelling of 20686848 in words is "twenty million, six hundred eighty-six thousand, eight hundred forty-eight".