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9987328 = 28133001
BaseRepresentation
bin100110000110…
…010100000000
3200210102001001
4212012110000
510024043303
6554021344
7150614401
oct46062400
920712031
109987328
11570169a
123417854
1320b8b80
14147d9a8
15d2431d
hex986500

9987328 has 36 divisors (see below), whose sum is σ = 21476308. Its totient is φ = 4608000.

The previous prime is 9987323. The next prime is 9987389. The reversal of 9987328 is 8237899.

It can be written as a sum of positive squares in 2 ways, for example, as 3268864 + 6718464 = 1808^2 + 2592^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9987323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1828 + ... + 4828.

Almost surely, 29987328 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 9987328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10738154).

9987328 is an abundant number, since it is smaller than the sum of its proper divisors (11488980).

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

9987328 is a wasteful number, since it uses less digits than its factorization.

9987328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3016 counting only the distinct ones).

The product of its digits is 217728, while the sum is 46.

The square root of 9987328 is about 3160.2734058939. The cubic root of 9987328 is about 215.3524272150.

The spelling of 9987328 in words is "nine million, nine hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3001 3328 6002 12004 24008 39013 48016 78026 96032 156052 192064 312104 384128 624208 768256 1248416 2496832 4993664 9987328