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66006432 = 2532229189
BaseRepresentation
bin1111101111001…
…0110110100000
311121012110210200
43323302312200
5113344201212
610314425200
71431021402
oct373626640
9147173720
1066006432
1134293678
121a132200
13108a0b7b
148aa2b72
155bdc6dc
hex3ef2da0

66006432 has 36 divisors (see below), whose sum is σ = 187706610. Its totient is φ = 22002048.

The previous prime is 66006431. The next prime is 66006449. The reversal of 66006432 is 23460066.

It can be written as a sum of positive squares in only one way, i.e., 65999376 + 7056 = 8124^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 66006396 and 66006405.

It is not an unprimeable number, because it can be changed into a prime (66006431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 114307 + ... + 114882.

Almost surely, 266006432 is an apocalyptic number.

It is an amenable number.

66006432 is an abundant number, since it is smaller than the sum of its proper divisors (121700178).

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

66006432 is a wasteful number, since it uses less digits than its factorization.

66006432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229205 (or 229194 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 66006432 is about 8124.4342572268. The cubic root of 66006432 is about 404.1371295428.

Adding to 66006432 its reverse (23460066), we get a palindrome (89466498).

The spelling of 66006432 in words is "sixty-six million, six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 229189 458378 687567 916756 1375134 1833512 2062701 2750268 3667024 4125402 5500536 7334048 8250804 11001072 16501608 22002144 33003216 66006432