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12006320 = 245223673
BaseRepresentation
bin101101110011…
…001110110000
3211120222120112
4231303032300
511033200240
61105200452
7204023564
oct55631660
924528515
1012006320
116860587
124030128
132644b41
1418476a4
1510c2665
hexb733b0

12006320 has 40 divisors (see below), whose sum is σ = 28081536. Its totient is φ = 4773888.

The previous prime is 12006311. The next prime is 12006343. The reversal of 12006320 is 2360021.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12006295 and 12006304.

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 7 ways as a sum of consecutive naturals, for example, 17504 + ... + 18176.

Almost surely, 212006320 is an apocalyptic number.

12006320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12006320 is an abundant number, since it is smaller than the sum of its proper divisors (16075216).

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

12006320 is a wasteful number, since it uses less digits than its factorization.

12006320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 12006320 is about 3465.0137084866. The cubic root of 12006320 is about 228.9830336457.

Adding to 12006320 its reverse (2360021), we get a palindrome (14366341).

The spelling of 12006320 in words is "twelve million, six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 223 446 673 892 1115 1346 1784 2230 2692 3365 3568 4460 5384 6730 8920 10768 13460 17840 26920 53840 150079 300158 600316 750395 1200632 1500790 2401264 3001580 6003160 12006320