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20289024 = 293271737
BaseRepresentation
bin100110101100…
…1011000000000
31102011210022100
41031121120000
520143222044
62002510400
7334311450
oct115313000
942153270
1020289024
11104a8498
126965400
134284b52
1429a1d60
151bab869
hex1359600

20289024 has 240 divisors, whose sum is σ = 72772128. Its totient is φ = 5308416.

The previous prime is 20289023. The next prime is 20289029. The reversal of 20289024 is 42098202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20289023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548334 + ... + 548370.

Almost surely, 220289024 is an apocalyptic number.

20289024 is a gapful number since it is divisible by the number (24) 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 20289024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36386064).

20289024 is an abundant number, since it is smaller than the sum of its proper divisors (52483104).

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

20289024 is a wasteful number, since it uses less digits than its factorization.

20289024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20289024 is about 4504.3339130220. Note that the first 3 decimals coincide. The cubic root of 20289024 is about 272.7430662369.

The spelling of 20289024 in words is "twenty million, two hundred eighty-nine thousand, twenty-four".