Base | Representation |
---|---|
bin | 1111101111011… |
… | …00011011100100 |
3 | 100012110100101221 |
4 | 13313230123210 |
5 | 232300243140 |
6 | 21034030124 |
7 | 3162216331 |
oct | 767543344 |
9 | 305410357 |
10 | 132040420 |
11 | 68595a16 |
12 | 38278344 |
13 | 21481435 |
14 | 13771988 |
15 | b8d314a |
hex | 7dec6e4 |
132040420 has 48 divisors (see below), whose sum is σ = 287567280. Its totient is φ = 50886144.
The previous prime is 132040397. The next prime is 132040423. The reversal of 132040420 is 24040231.
It can be written as a sum of positive squares in 8 ways, for example, as 295936 + 131744484 = 544^2 + 11478^2 .
It is a junction number, because it is equal to n+sod(n) for n = 132040394 and 132040403.
It is not an unprimeable number, because it can be changed into a prime (132040423) 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 15 ways as a sum of consecutive naturals, for example, 79842 + ... + 81478.
It is an arithmetic number, because the mean of its divisors is an integer number (5990985).
Almost surely, 2132040420 is an apocalyptic number.
132040420 is a gapful number since it is divisible by the number (10) 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 132040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143783640).
132040420 is an abundant number, since it is smaller than the sum of its proper divisors (155526860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132040420 is a wasteful number, since it uses less digits than its factorization.
132040420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1792 (or 1790 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 132040420 is about 11490.8842131491. The cubic root of 132040420 is about 509.2163024260.
Adding to 132040420 its reverse (24040231), we get a palindrome (156080651).
The spelling of 132040420 in words is "one hundred thirty-two million, forty thousand, four hundred twenty".
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