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12006852 = 22311136997
BaseRepresentation
bin101101110011…
…010111000100
3211121000022020
4231303113010
511033204402
61105203140
7204025254
oct55632704
924530266
1012006852
116860a20
1240304b0
132645160
141847964
1510c28bc
hexb735c4

12006852 has 48 divisors (see below), whose sum is σ = 32918592. Its totient is φ = 3358080.

The previous prime is 12006829. The next prime is 12006859. The reversal of 12006852 is 25860021.

It is not an unprimeable number, because it can be changed into a prime (12006859) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1783 + ... + 5214.

It is an arithmetic number, because the mean of its divisors is an integer number (685804).

Almost surely, 212006852 is an apocalyptic number.

12006852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12006852 is an abundant number, since it is smaller than the sum of its proper divisors (20911740).

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

12006852 is a wasteful number, since it uses less digits than its factorization.

12006852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 12006852 is about 3465.0904750093. The cubic root of 12006852 is about 228.9864156749.

Adding to 12006852 its reverse (25860021), we get a palindrome (37866873).

The spelling of 12006852 in words is "twelve million, six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 6997 13994 20991 27988 41982 76967 83964 90961 153934 181922 230901 272883 307868 363844 461802 545766 923604 1000571 1091532 2001142 3001713 4002284 6003426 12006852