Search a number
-
+
66051306 = 23223315749
BaseRepresentation
bin1111101111110…
…1110011101010
311121021202100200
43323331303222
5113402120211
610315413030
71431266256
oct373756352
9147252320
1066051306
1134314362
121a154176
13108b8419
148ab5266
155beab56
hex3efdcea

66051306 has 24 divisors (see below), whose sum is σ = 143734500. Its totient is φ = 21921216.

The previous prime is 66051301. The next prime is 66051329. The reversal of 66051306 is 60315066.

It can be written as a sum of positive squares in 2 ways, for example, as 52056225 + 13995081 = 7215^2 + 3741^2 .

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 66051306.

It is not an unprimeable number, because it can be changed into a prime (66051301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3681 + ... + 12068.

Almost surely, 266051306 is an apocalyptic number.

66051306 is an abundant number, since it is smaller than the sum of its proper divisors (77683194).

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

66051306 is a wasteful number, since it uses less digits than its factorization.

66051306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15990 (or 15987 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 66051306 is about 8127.1954572288. The cubic root of 66051306 is about 404.2286920408.

The spelling of 66051306 in words is "sixty-six million, fifty-one thousand, three hundred six".

Divisors: 1 2 3 6 9 18 233 466 699 1398 2097 4194 15749 31498 47247 94494 141741 283482 3669517 7339034 11008551 22017102 33025653 66051306