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66402006 = 23111006091
BaseRepresentation
bin1111110101001…
…1011011010110
311121221120102120
43331103123112
5113444331011
610331120410
71434256566
oct375233326
9147846376
1066402006
11345338a0
121a2a3106
13109abc38
148b66da6
155c69a06
hex3f536d6

66402006 has 16 divisors (see below), whose sum is σ = 144877248. Its totient is φ = 20121800.

The previous prime is 66401957. The next prime is 66402043. The reversal of 66402006 is 60020466.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 7 ways as a sum of consecutive naturals, for example, 502980 + ... + 503111.

It is an arithmetic number, because the mean of its divisors is an integer number (9054828).

Almost surely, 266402006 is an apocalyptic number.

66402006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66402006 is an abundant number, since it is smaller than the sum of its proper divisors (78475242).

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

66402006 is a wasteful number, since it uses less digits than its factorization.

66402006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006107.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 66402006 is about 8148.7426023896. The cubic root of 66402006 is about 404.9428482073.

It can be divided in two parts, 6640 and 2006, that added together give a triangular number (8646 = T131).

The spelling of 66402006 in words is "sixty-six million, four hundred two thousand, six".

Divisors: 1 2 3 6 11 22 33 66 1006091 2012182 3018273 6036546 11067001 22134002 33201003 66402006