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66039174 = 23219210163
BaseRepresentation
bin1111101111101…
…0110110000110
311121021010201100
43323322312012
5113401223144
610315240530
71431216015
oct373726606
9147233640
1066039174
1134306233
121a149146
13108b2a46
148ab0a7c
155be7269
hex3efad86

66039174 has 36 divisors (see below), whose sum is σ = 151026876. Its totient is φ = 20852424.

The previous prime is 66039163. The next prime is 66039179. The reversal of 66039174 is 47193066.

It is a super-2 number, since 2×660391742 = 8722345005204552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66039179) 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 17 ways as a sum of consecutive naturals, for example, 1417 + ... + 11579.

It is an arithmetic number, because the mean of its divisors is an integer number (4195191).

Almost surely, 266039174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66039174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75513438).

66039174 is an abundant number, since it is smaller than the sum of its proper divisors (84987702).

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

66039174 is a wasteful number, since it uses less digits than its factorization.

66039174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10209 (or 10187 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 66039174 is about 8126.4490400174. The cubic root of 66039174 is about 404.2039415699.

The spelling of 66039174 in words is "sixty-six million, thirty-nine thousand, one hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 2166 3249 6498 10163 20326 30489 60978 91467 182934 193097 386194 579291 1158582 1737873 3475746 3668843 7337686 11006529 22013058 33019587 66039174