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65006676 = 223271913577
BaseRepresentation
bin1111011111111…
…0110001010100
311112022200101200
43313332301110
5113120203201
610241152500
71416355560
oct367766124
9145280350
1065006676
1133770529
121992b730
1310610ab7
1488c26a0
155a91386
hex3dfec54

65006676 has 72 divisors (see below), whose sum is σ = 197695680. Its totient is φ = 17594496.

The previous prime is 65006647. The next prime is 65006701. The reversal of 65006676 is 67660056.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 65006676.

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 23 ways as a sum of consecutive naturals, for example, 2001 + ... + 11576.

Almost surely, 265006676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65006676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98847840).

65006676 is an abundant number, since it is smaller than the sum of its proper divisors (132689004).

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

65006676 is a wasteful number, since it uses less digits than its factorization.

65006676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13613 (or 13608 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 65006676 is about 8062.6717656122. The cubic root of 65006676 is about 402.0863407031.

The spelling of 65006676 in words is "sixty-five million, six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 13577 27154 40731 54308 81462 95039 122193 162924 190078 244386 257963 285117 380156 488772 515926 570234 773889 855351 1031852 1140468 1547778 1710702 1805741 2321667 3095556 3421404 3611482 4643334 5417223 7222964 9286668 10834446 16251669 21668892 32503338 65006676