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12005145 = 335175231
BaseRepresentation
bin101101110010…
…111100011001
3211120220222000
4231302330121
511033131040
61105151213
7204020265
oct55627431
924526860
1012005145
11685a709
12402b509
132644449
1418470a5
1510c2130
hexb72f19

12005145 has 32 divisors (see below), whose sum is σ = 22602240. Its totient is φ = 6024960.

The previous prime is 12005141. The next prime is 12005167. The reversal of 12005145 is 54150021.

It is not a de Polignac number, because 12005145 - 22 = 12005141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12005141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321 + ... + 4910.

It is an arithmetic number, because the mean of its divisors is an integer number (706320).

Almost surely, 212005145 is an apocalyptic number.

12005145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12005145 is a deficient number, since it is larger than the sum of its proper divisors (10597095).

12005145 is a wasteful number, since it uses less digits than its factorization.

12005145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5262 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 12005145 is about 3464.8441523393. The cubic root of 12005145 is about 228.9755635843.

Adding to 12005145 its reverse (54150021), we get a palindrome (66155166).

The spelling of 12005145 in words is "twelve million, five thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 255 459 765 2295 5231 15693 26155 47079 78465 88927 141237 235395 266781 444635 706185 800343 1333905 2401029 4001715 12005145