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66689540 = 2253790121
BaseRepresentation
bin1111111001100…
…1101000000100
311122111011211222
43332121220010
5114033031130
610341215512
71436565101
oct376315004
9148434758
1066689540
113470a925
121a401598
1310a7ca88
148bddaa8
155cc4ce5
hex3f99a04

66689540 has 24 divisors (see below), whose sum is σ = 143834712. Its totient is φ = 25954560.

The previous prime is 66689533. The next prime is 66689543. The reversal of 66689540 is 4598666.

66689540 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 4 ways, for example, as 41267776 + 25421764 = 6424^2 + 5042^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66689491 and 66689500.

It is not an unprimeable number, because it can be changed into a prime (66689543) 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 7 ways as a sum of consecutive naturals, for example, 44321 + ... + 45800.

It is an arithmetic number, because the mean of its divisors is an integer number (5993113).

Almost surely, 266689540 is an apocalyptic number.

It is an amenable number.

66689540 is an abundant number, since it is smaller than the sum of its proper divisors (77145172).

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

66689540 is a wasteful number, since it uses less digits than its factorization.

66689540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90167 (or 90165 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 66689540 is about 8166.3663890374. The cubic root of 66689540 is about 405.5265011469.

The spelling of 66689540 in words is "sixty-six million, six hundred eighty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 90121 180242 360484 450605 901210 1802420 3334477 6668954 13337908 16672385 33344770 66689540