Base | Representation |
---|---|
bin | 1111101111101… |
… | …11000100111000 |
3 | 100012112120012220 |
4 | 13313313010320 |
5 | 232303142044 |
6 | 21035004040 |
7 | 3162460422 |
oct | 767670470 |
9 | 305476186 |
10 | 132084024 |
11 | 68615756 |
12 | 38299620 |
13 | 21498237 |
14 | 13783812 |
15 | b8e1019 |
hex | 7df7138 |
132084024 has 32 divisors (see below), whose sum is σ = 331393920. Its totient is φ = 43870176.
The previous prime is 132084023. The next prime is 132084031. The reversal of 132084024 is 420480231.
132084024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 132083985 and 132084003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132084023) 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 7 ways as a sum of consecutive naturals, for example, 2932 + ... + 16515.
It is an arithmetic number, because the mean of its divisors is an integer number (10356060).
Almost surely, 2132084024 is an apocalyptic number.
It is an amenable number.
132084024 is an abundant number, since it is smaller than the sum of its proper divisors (199309896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132084024 is a wasteful number, since it uses less digits than its factorization.
132084024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19739 (or 19735 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 24.
The square root of 132084024 is about 11492.7813865922. The cubic root of 132084024 is about 509.2723494657.
The spelling of 132084024 in words is "one hundred thirty-two million, eighty-four thousand, twenty-four".
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