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9420206320 = 245785919583
BaseRepresentation
bin10001100010111110…
…01111000011110000
3220022111210001201101
420301133033003300
5123243033100240
64154431414144
7452304301240
oct106137170360
926274701641
109420206320
113aa4508488
1219aa984354
13b71847ba5
14655159b20
153a203239a
hex2317cf0f0

9420206320 has 80 divisors (see below), whose sum is σ = 25061253120. Its totient is φ = 3225860352.

The previous prime is 9420206317. The next prime is 9420206357. The reversal of 9420206320 is 236020249.

9420206320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×94202063202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471249 + ... + 490831.

It is an arithmetic number, because the mean of its divisors is an integer number (313265664).

Almost surely, 29420206320 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 9420206320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12530626560).

9420206320 is an abundant number, since it is smaller than the sum of its proper divisors (15641046800).

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

9420206320 is a wasteful number, since it uses less digits than its factorization.

9420206320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20462 (or 20456 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 9420206320 is about 97057.7473466183. The cubic root of 9420206320 is about 2111.9654290618.

Adding to 9420206320 its reverse (236020249), we get a palindrome (9656226569).

The spelling of 9420206320 in words is "nine billion, four hundred twenty million, two hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 859 1718 3436 4295 6013 6872 8590 12026 13744 17180 19583 24052 30065 34360 39166 48104 60130 68720 78332 96208 97915 120260 137081 156664 195830 240520 274162 313328 391660 481040 548324 685405 783320 1096648 1370810 1566640 2193296 2741620 5483240 10966480 16821797 33643594 67287188 84108985 117752579 134574376 168217970 235505158 269148752 336435940 471010316 588762895 672871880 942020632 1177525790 1345743760 1884041264 2355051580 4710103160 9420206320