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12006834 = 2371272251
BaseRepresentation
bin101101110011…
…010110110010
3211121000021120
4231303112302
511033204314
61105203110
7204025230
oct55632662
924530246
1012006834
116860a04
124030496
132645148
141847950
1510c28a9
hexb735b2

12006834 has 32 divisors (see below), whose sum is σ = 27672576. Its totient is φ = 3402000.

The previous prime is 12006829. The next prime is 12006859. The reversal of 12006834 is 43860021.

It is a happy number.

It is a Curzon 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, 4209 + ... + 6459.

It is an arithmetic number, because the mean of its divisors is an integer number (864768).

Almost surely, 212006834 is an apocalyptic number.

12006834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12006834 is an abundant number, since it is smaller than the sum of its proper divisors (15665742).

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

12006834 is a wasteful number, since it uses less digits than its factorization.

12006834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12006834 is about 3465.0878776735. The cubic root of 12006834 is about 228.9863012470.

Adding to 12006834 its reverse (43860021), we get a palindrome (55866855).

The spelling of 12006834 in words is "twelve million, six thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 127 254 381 762 889 1778 2251 2667 4502 5334 6753 13506 15757 31514 47271 94542 285877 571754 857631 1715262 2001139 4002278 6003417 12006834