Search a number
-
+
1668628674 = 23443239539
BaseRepresentation
bin110001101110101…
…0100000011000010
311022021211010020000
41203131110003002
511404132104144
6433324300430
756231052426
oct14335240302
94267733200
101668628674
11786996469
123a69a1716
1320791435b
1411b87ab86
159b758769
hex637540c2

1668628674 has 40 divisors (see below), whose sum is σ = 3825932880. Its totient is φ = 543272184.

The previous prime is 1668628667. The next prime is 1668628711. The reversal of 1668628674 is 4768268661.

1668628674 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 628 + 6 + 7 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1668628674.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 112804 + ... + 126735.

It is an arithmetic number, because the mean of its divisors is an integer number (95648322).

Almost surely, 21668628674 is an apocalyptic number.

1668628674 is an abundant number, since it is smaller than the sum of its proper divisors (2157304206).

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

1668628674 is a wasteful number, since it uses less digits than its factorization.

1668628674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239596 (or 239587 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 1668628674 is about 40848.8515628041. The cubic root of 1668628674 is about 1186.0961624370.

The spelling of 1668628674 in words is "one billion, six hundred sixty-eight million, six hundred twenty-eight thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 258 387 774 1161 2322 3483 6966 239539 479078 718617 1437234 2155851 4311702 6467553 10300177 12935106 19402659 20600354 30900531 38805318 61801062 92701593 185403186 278104779 556209558 834314337 1668628674