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20084608 = 27173907
BaseRepresentation
bin100110010011…
…1011110000000
31101210101220101
41030213132000
520120201413
61554252144
7332500465
oct114473600
941711811
1020084608
1110378955
126887054
134212aab
14294b66c
151b6aedd
hex1327780

20084608 has 32 divisors (see below), whose sum is σ = 40287960. Its totient is φ = 9973248.

The previous prime is 20084591. The next prime is 20084609. The reversal of 20084608 is 80648002.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20084609) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 21691 + ... + 22597.

Almost surely, 220084608 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 20084608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20143980).

20084608 is an abundant number, since it is smaller than the sum of its proper divisors (20203352).

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

20084608 is an equidigital number, since it uses as much as digits as its factorization.

20084608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 20084608 is about 4481.5854337500. The cubic root of 20084608 is about 271.8239922452.

The spelling of 20084608 in words is "twenty million, eighty-four thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 64 128 173 346 692 907 1384 1814 2768 3628 5536 7256 11072 14512 22144 29024 58048 116096 156911 313822 627644 1255288 2510576 5021152 10042304 20084608