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12008010 = 2357211271
BaseRepresentation
bin101101110011…
…101001001010
3211121001220010
4231303221022
511033224020
61105212350
7204031530
oct55635112
924531803
1012008010
116861883
1240310b6
132645841
141848150
1510c2de0
hexb73a4a

12008010 has 64 divisors (see below), whose sum is σ = 33214464. Its totient is φ = 2721600.

The previous prime is 12007999. The next prime is 12008027. The reversal of 12008010 is 1080021.

It is a happy number.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 44175 + ... + 44445.

It is an arithmetic number, because the mean of its divisors is an integer number (518976).

Almost surely, 212008010 is an apocalyptic number.

12008010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12008010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16607232).

12008010 is an abundant number, since it is smaller than the sum of its proper divisors (21206454).

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

12008010 is a wasteful number, since it uses less digits than its factorization.

12008010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 12008010 is about 3465.2575661847. The cubic root of 12008010 is about 228.9937769646.

Adding to 12008010 its reverse (1080021), we get a palindrome (13088031).

The spelling of 12008010 in words is "twelve million, eight thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 211 271 422 542 633 813 1055 1266 1355 1477 1626 1897 2110 2710 2954 3165 3794 4065 4431 5691 6330 7385 8130 8862 9485 11382 14770 18970 22155 28455 44310 56910 57181 114362 171543 285905 343086 400267 571810 800534 857715 1200801 1715430 2001335 2401602 4002670 6004005 12008010