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12627006 = 2372291481
BaseRepresentation
bin110000001010…
…110000111110
3212202111222220
4300022300332
511213031011
61130350210
7212220300
oct60126076
925674886
1012627006
117144947
12428b366
132801502
141969970
151196506
hexc0ac3e

12627006 has 48 divisors (see below), whose sum is σ = 30410640. Its totient is φ = 3480960.

The previous prime is 12626989. The next prime is 12627011. The reversal of 12627006 is 60072621.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7786 + ... + 9266.

It is an arithmetic number, because the mean of its divisors is an integer number (633555).

Almost surely, 212627006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12627006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15205320).

12627006 is an abundant number, since it is smaller than the sum of its proper divisors (17783634).

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

12627006 is a wasteful number, since it uses less digits than its factorization.

12627006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 12627006 is about 3553.4498730107. The cubic root of 12627006 is about 232.8628073589.

Adding to 12627006 its reverse (60072621), we get a palindrome (72699627).

The spelling of 12627006 in words is "twelve million, six hundred twenty-seven thousand, six".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 406 609 1218 1421 1481 2842 2962 4263 4443 8526 8886 10367 20734 31101 42949 62202 72569 85898 128847 145138 217707 257694 300643 435414 601286 901929 1803858 2104501 4209002 6313503 12627006