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20667024 = 24327229101
BaseRepresentation
bin100111011010…
…1101010010000
31102212222211100
41032311222100
520242321044
62014544400
7340444500
oct116655220
942788740
1020667024
1110736494
126b08100
134387c11
142a5da00
151c33869
hex13b5a90

20667024 has 180 divisors, whose sum is σ = 70291260. Its totient is φ = 5644800.

The previous prime is 20667013. The next prime is 20667029. The reversal of 20667024 is 42076602.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 4410000 = 4032^2 + 2100^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20667029) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204574 + ... + 204674.

It is an arithmetic number, because the mean of its divisors is an integer number (390507).

Almost surely, 220667024 is an apocalyptic number.

20667024 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 20667024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35145630).

20667024 is an abundant number, since it is smaller than the sum of its proper divisors (49624236).

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

20667024 is a wasteful number, since it uses less digits than its factorization.

20667024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20667024 is about 4546.0998669189. The cubic root of 20667024 is about 274.4264586454.

The spelling of 20667024 in words is "twenty million, six hundred sixty-seven thousand, twenty-four".