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2008006 = 2711131759
BaseRepresentation
bin111101010001111000110
310210000110121
413222033012
51003224011
6111012154
723032150
oct7521706
93700417
102008006
111151710
1280a05a
13553c90
143a3ad0
15299e71
hex1ea3c6

2008006 has 64 divisors (see below), whose sum is σ = 4354560. Its totient is φ = 668160.

The previous prime is 2008003. The next prime is 2008033. The reversal of 2008006 is 6008002.

2008006 = T76 + T77 + ... + T231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34005 + ... + 34063.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

22008006 is an apocalyptic number.

2008006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2008006 is an abundant number, since it is smaller than the sum of its proper divisors (2346554).

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

2008006 is a wasteful number, since it uses less digits than its factorization.

2008006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2008006 is about 1417.0412838023. The cubic root of 2008006 is about 126.1599966304.

The spelling of 2008006 in words is "two million, eight thousand, six".

Divisors: 1 2 7 11 13 14 17 22 26 34 59 77 91 118 119 143 154 182 187 221 238 286 374 413 442 649 767 826 1001 1003 1298 1309 1534 1547 2002 2006 2431 2618 3094 4543 4862 5369 7021 8437 9086 10738 11033 13039 14042 16874 17017 22066 26078 34034 59059 77231 91273 118118 143429 154462 182546 286858 1004003 2008006