Base | Representation |
---|---|
bin | 1111101111000… |
… | …10100110000000 |
3 | 100012101022010122 |
4 | 13313202212000 |
5 | 232243001003 |
6 | 21033115412 |
7 | 3161661011 |
oct | 767424600 |
9 | 305338118 |
10 | 132000128 |
11 | 68568717 |
12 | 38258b68 |
13 | 21468cb0 |
14 | 13761008 |
15 | b8c6238 |
hex | 7de2980 |
132000128 has 64 divisors (see below), whose sum is σ = 295596000. Its totient is φ = 58257408.
The previous prime is 132000119. The next prime is 132000173. The reversal of 132000128 is 821000231.
It is a tau number, because it is divible by the number of its divisors (64).
It is a congruent number.
It is an unprimeable number.
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, 36548 + ... + 39996.
Almost surely, 2132000128 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147798000).
132000128 is an abundant number, since it is smaller than the sum of its proper divisors (163595872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132000128 is a wasteful number, since it uses less digits than its factorization.
132000128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3499 (or 3487 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 17.
The square root of 132000128 is about 11489.1308635597. The cubic root of 132000128 is about 509.1645015443.
Adding to 132000128 its reverse (821000231), we get a palindrome (953000359).
The spelling of 132000128 in words is "one hundred thirty-two million, one hundred twenty-eight", and thus it is an aban number.
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