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6312006 = 23447829
BaseRepresentation
bin11000000101000001000110
3102212200110000
4120011001012
53103441011
6343142130
7104436231
oct30050106
912780400
106312006
113621338
122144946
13140001c
14ba4418
1584a356
hex605046

6312006 has 40 divisors (see below), whose sum is σ = 14461920. Its totient is φ = 2056752.

The previous prime is 6311989. The next prime is 6312017. The reversal of 6312006 is 6002136.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 6312006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7200 + ... + 8028.

It is an arithmetic number, because the mean of its divisors is an integer number (361548).

Almost surely, 26312006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6312006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7230960).

6312006 is an abundant number, since it is smaller than the sum of its proper divisors (8149914).

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

6312006 is a wasteful number, since it uses less digits than its factorization.

6312006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 6312006 is about 2512.3705936824. The cubic root of 6312006 is about 184.8087236563.

The spelling of 6312006 in words is "six million, three hundred twelve thousand, six".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 282 423 829 846 1269 1658 2487 2538 3807 4974 7461 7614 14922 22383 38963 44766 67149 77926 116889 134298 233778 350667 701334 1052001 2104002 3156003 6312006