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12006276 = 22323411061
BaseRepresentation
bin101101110011…
…001110000100
3211120222111220
4231303032010
511033200101
61105200340
7204023502
oct55631604
924528456
1012006276
116860547
1240300b0
132644b09
141847672
1510c2636
hexb73384

12006276 has 48 divisors (see below), whose sum is σ = 29973888. Its totient is φ = 3731200.

The previous prime is 12006259. The next prime is 12006283. The reversal of 12006276 is 67260021.

It is a happy number.

12006276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10786 + ... + 11846.

It is an arithmetic number, because the mean of its divisors is an integer number (624456).

Almost surely, 212006276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12006276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14986944).

12006276 is an abundant number, since it is smaller than the sum of its proper divisors (17967612).

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

12006276 is a wasteful number, since it uses less digits than its factorization.

12006276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1130 counting only the distinct ones).

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

The square root of 12006276 is about 3465.0073592995. The cubic root of 12006276 is about 228.9827539246.

Adding to 12006276 its reverse (67260021), we get a palindrome (79266297).

The spelling of 12006276 in words is "twelve million, six thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 246 276 492 943 1061 1886 2122 2829 3183 3772 4244 5658 6366 11316 12732 24403 43501 48806 73209 87002 97612 130503 146418 174004 261006 292836 522012 1000523 2001046 3001569 4002092 6003138 12006276