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67128 = 2332797
BaseRepresentation
bin10000011000111000
310102002020
4100120320
54122003
61234440
7366465
oct203070
9112066
1067128
1146486
1232a20
1324729
141a66c
1514d53
hex10638

67128 has 16 divisors (see below), whose sum is σ = 167880. Its totient is φ = 22368.

The previous prime is 67121. The next prime is 67129. The reversal of 67128 is 82176.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 2797 = 67128 / (6 + 7 + 1 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 67098 and 67107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67121) by changing a digit.

67128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1375 + ... + 1422.

267128 is an apocalyptic number.

It is an amenable number.

67128 is an abundant number, since it is smaller than the sum of its proper divisors (100752).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83940).

67128 is a wasteful number, since it uses less digits than its factorization.

67128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2802 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 67128 is about 259.0907177033. The cubic root of 67128 is about 40.6413291359.

The spelling of 67128 in words is "sixty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 2797 5594 8391 11188 16782 22376 33564 67128