Search a number
-
+
66058785 = 32513112921
BaseRepresentation
bin1111101111111…
…1101000100001
311121022010121200
43323333220201
5113402340120
610315511413
71431330132
oct373775041
9147263550
1066058785
1134319a41
121a158569
13108bb950
148ab7c89
155bece90
hex3effa21

66058785 has 24 divisors (see below), whose sum is σ = 123310824. Its totient is φ = 32520960.

The previous prime is 66058771. The next prime is 66058789. The reversal of 66058785 is 58785066.

66058785 is a `hidden beast` number, since 6 + 60 + 587 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15421329 + 50637456 = 3927^2 + 7116^2 .

It is not a de Polignac number, because 66058785 - 26 = 66058721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 66058785.

It is not an unprimeable number, because it can be changed into a prime (66058789) by changing a digit.

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, 55876 + ... + 57045.

It is an arithmetic number, because the mean of its divisors is an integer number (5137951).

Almost surely, 266058785 is an apocalyptic number.

66058785 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66058785 is a deficient number, since it is larger than the sum of its proper divisors (57252039).

66058785 is a wasteful number, since it uses less digits than its factorization.

66058785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112945 (or 112942 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 66058785 is about 8127.6555660289. The cubic root of 66058785 is about 404.2439484249.

The spelling of 66058785 in words is "sixty-six million, fifty-eight thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 112921 338763 564605 1016289 1467973 1693815 4403919 5081445 7339865 13211757 22019595 66058785