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276660006 = 237172331663
BaseRepresentation
bin10000011111010…
…111111100100110
3201021120210011220
4100133113330212
51031311110011
643241441210
76566366640
oct2037277446
9637523156
10276660006
11132192837
12787a0206
134541835c
1428a59890
151944d506
hex107d7f26

276660006 has 64 divisors (see below), whose sum is σ = 672841728. Its totient is φ = 74032128.

The previous prime is 276659993. The next prime is 276660011. The reversal of 276660006 is 600066672.

276660006 is digitally balanced in base 3, 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165531 + ... + 167193.

It is an arithmetic number, because the mean of its divisors is an integer number (10513152).

Almost surely, 2276660006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276660006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336420864).

276660006 is an abundant number, since it is smaller than the sum of its proper divisors (396181722).

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

276660006 is a wasteful number, since it uses less digits than its factorization.

276660006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 276660006 is about 16633.0997111182. The cubic root of 276660006 is about 651.6015779413.

The spelling of 276660006 in words is "two hundred seventy-six million, six hundred sixty thousand, six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 233 238 357 466 699 714 1398 1631 1663 3262 3326 3961 4893 4989 7922 9786 9978 11641 11883 23282 23766 27727 28271 34923 55454 56542 69846 83181 84813 166362 169626 197897 387479 395794 593691 774958 1162437 1187382 2324874 2712353 5424706 6587143 8137059 13174286 16274118 19761429 39522858 46110001 92220002 138330003 276660006