Search a number
-
+
66540160 = 275103969
BaseRepresentation
bin1111110111010…
…1001010000000
311122012120221101
43331311022000
5114013241120
610334104144
71435403431
oct375651200
9148176841
1066540160
1134618675
121a34b054
1310a29a9b
148ba1488
155c9590a
hex3f75280

66540160 has 32 divisors (see below), whose sum is σ = 159074100. Its totient is φ = 26615808.

The previous prime is 66540151. The next prime is 66540161. The reversal of 66540160 is 6104566.

66540160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 65157184 + 1382976 = 8072^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (66540161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51345 + ... + 52624.

Almost surely, 266540160 is an apocalyptic number.

It is an amenable number.

66540160 is an abundant number, since it is smaller than the sum of its proper divisors (92533940).

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

66540160 is a wasteful number, since it uses less digits than its factorization.

66540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103988 (or 103976 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 66540160 is about 8157.2152110877. The cubic root of 66540160 is about 405.2234909349.

The spelling of 66540160 in words is "sixty-six million, five hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 103969 207938 415876 519845 831752 1039690 1663504 2079380 3327008 4158760 6654016 8317520 13308032 16635040 33270080 66540160