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2020329600 = 27352229919
BaseRepresentation
bin111100001101011…
…1100100010000000
312012210121101012020
41320122330202000
513114201021400
6532250401440
7101031342522
oct17032744200
95183541166
102020329600
11947472593
12484730280
13262744803
1415246ba12
15bc57b2a0
hex786bc880

2020329600 has 192 divisors, whose sum is σ = 6690792000. Its totient is φ = 535818240.

The previous prime is 2020329593. The next prime is 2020329617. The reversal of 2020329600 is 69230202.

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 (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2197941 + ... + 2198859.

It is an arithmetic number, because the mean of its divisors is an integer number (34847875).

Almost surely, 22020329600 is an apocalyptic number.

2020329600 is a gapful number since it is divisible by the number (20) 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 2020329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345396000).

2020329600 is an abundant number, since it is smaller than the sum of its proper divisors (4670462400).

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

2020329600 is a wasteful number, since it uses less digits than its factorization.

2020329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2020329600 is about 44948.0767108004. The cubic root of 2020329600 is about 1264.1756151873.

Adding to 2020329600 its reverse (69230202), we get a palindrome (2089559802).

The spelling of 2020329600 in words is "two billion, twenty million, three hundred twenty-nine thousand, six hundred".