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12000609 = 3319149157
BaseRepresentation
bin101101110001…
…110101100001
3211120200202000
4231301311201
511033004414
61105114213
7204001125
oct55616541
924520660
1012000609
116857265
124028969
13264236a
141845585
1510c0b09
hexb71d61

12000609 has 32 divisors (see below), whose sum is σ = 18960000. Its totient is φ = 7480512.

The previous prime is 12000607. The next prime is 12000613. The reversal of 12000609 is 90600021.

It is not a de Polignac number, because 12000609 - 21 = 12000607 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12000591 and 12000600.

It is not an unprimeable number, because it can be changed into a prime (12000607) 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 31 ways as a sum of consecutive naturals, for example, 76359 + ... + 76515.

It is an arithmetic number, because the mean of its divisors is an integer number (592500).

Almost surely, 212000609 is an apocalyptic number.

12000609 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

12000609 is a deficient number, since it is larger than the sum of its proper divisors (6959391).

12000609 is a wasteful number, since it uses less digits than its factorization.

12000609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 12000609 is about 3464.1895156010. The cubic root of 12000609 is about 228.9467213950.

The spelling of 12000609 in words is "twelve million, six hundred nine", and thus it is an aban number.

Divisors: 1 3 9 19 27 57 149 157 171 447 471 513 1341 1413 2831 2983 4023 4239 8493 8949 23393 25479 26847 70179 76437 80541 210537 444467 631611 1333401 4000203 12000609