Base | Representation |
---|---|
bin | 1111110100000… |
… | …10110011001000 |
3 | 100020121122021100 |
4 | 13322002303020 |
5 | 232430000303 |
6 | 21055141400 |
7 | 3200363100 |
oct | 772026310 |
9 | 306548240 |
10 | 132656328 |
11 | 68976732 |
12 | 38514860 |
13 | 2163888c |
14 | 13892200 |
15 | b9a58a3 |
hex | 7e82cc8 |
132656328 has 144 divisors (see below), whose sum is σ = 440154000. Its totient is φ = 35888832.
The previous prime is 132656323. The next prime is 132656357. The reversal of 132656328 is 823656231.
It is a happy number.
132656328 is a `hidden beast` number, since 1 + 326 + 5 + 6 + 328 = 666.
It is a super-3 number, since 3×1326563283 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 132656292 and 132656301.
It is not an unprimeable number, because it can be changed into a prime (132656323) 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 35 ways as a sum of consecutive naturals, for example, 66043 + ... + 68021.
It is an arithmetic number, because the mean of its divisors is an integer number (3056625).
Almost surely, 2132656328 is an apocalyptic number.
132656328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132656328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220077000).
132656328 is an abundant number, since it is smaller than the sum of its proper divisors (307497672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132656328 is a wasteful number, since it uses less digits than its factorization.
132656328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2024 (or 2010 counting only the distinct ones).
The product of its digits is 51840, while the sum is 36.
The square root of 132656328 is about 11517.6528858965. The cubic root of 132656328 is about 510.0068280516.
The spelling of 132656328 in words is "one hundred thirty-two million, six hundred fifty-six thousand, three hundred twenty-eight".
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