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66069 = 332447
BaseRepresentation
bin10000001000010101
310100122000
4100020111
54103234
61225513
7363423
oct201025
9110560
1066069
1145703
1232299
13240c3
141a113
1514899
hex10215

66069 has 8 divisors (see below), whose sum is σ = 97920. Its totient is φ = 44028.

The previous prime is 66067. The next prime is 66071. The reversal of 66069 is 96066.

It is an interprime number because it is at equal distance from previous prime (66067) and next prime (66071).

It is not a de Polignac number, because 66069 - 21 = 66067 is a prime.

It is a super-2 number, since 2×660692 = 8730225522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2447 = 66069 / (6 + 6 + 0 + 6 + 9).

66069 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1197 + ... + 1250.

It is an arithmetic number, because the mean of its divisors is an integer number (12240).

266069 is an apocalyptic number.

It is an amenable number.

66069 is a deficient number, since it is larger than the sum of its proper divisors (31851).

66069 is a wasteful number, since it uses less digits than its factorization.

66069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 66069 is about 257.0389075607. The cubic root of 66069 is about 40.4264784105.

It can be divided in two parts, 660 and 69, that added together give a 6-th power (729 = 36).

The spelling of 66069 in words is "sixty-six thousand, sixty-nine".

Divisors: 1 3 9 27 2447 7341 22023 66069