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9600138 = 23217137229
BaseRepresentation
bin100100100111…
…110010001010
3200001201220200
4210213302022
54424201023
6541433030
7144412512
oct44476212
920051820
109600138
1154677a9
12326b776
131cb1872
1413bc842
15c99743
hex927c8a

9600138 has 48 divisors (see below), whose sum is σ = 22281480. Its totient is φ = 2976768.

The previous prime is 9600133. The next prime is 9600161. The reversal of 9600138 is 8310069.

It can be written as a sum of positive squares in 4 ways, for example, as 9566649 + 33489 = 3093^2 + 183^2 .

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (9600133) 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 23 ways as a sum of consecutive naturals, for example, 41808 + ... + 42036.

Almost surely, 29600138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9600138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11140740).

9600138 is an abundant number, since it is smaller than the sum of its proper divisors (12681342).

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

9600138 is a wasteful number, since it uses less digits than its factorization.

9600138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9600138 is about 3098.4089465401. The cubic root of 9600138 is about 212.5327322128.

The spelling of 9600138 in words is "nine million, six hundred thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 137 153 229 274 306 411 458 687 822 1233 1374 2061 2329 2466 3893 4122 4658 6987 7786 11679 13974 20961 23358 31373 35037 41922 62746 70074 94119 188238 282357 533341 564714 1066682 1600023 3200046 4800069 9600138