Base | Representation |
---|---|
bin | 1111110000000… |
… | …10010011100100 |
3 | 100012121220022110 |
4 | 13320002103210 |
5 | 232311130040 |
6 | 21040001020 |
7 | 3163041501 |
oct | 770022344 |
9 | 305556273 |
10 | 132130020 |
11 | 68647270 |
12 | 38300170 |
13 | 214b3159 |
14 | 137964a8 |
15 | b8ee980 |
hex | 7e024e4 |
132130020 has 96 divisors (see below), whose sum is σ = 407586816. Its totient is φ = 31715200.
The previous prime is 132129989. The next prime is 132130027. The reversal of 132130020 is 20031231.
It is a happy number.
132130020 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 (12).
It is a junction number, because it is equal to n+sod(n) for n = 132129978 and 132130005.
It is not an unprimeable number, because it can be changed into a prime (132130027) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69685 + ... + 71555.
It is an arithmetic number, because the mean of its divisors is an integer number (4245696).
Almost surely, 2132130020 is an apocalyptic number.
132130020 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 132130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203793408).
132130020 is an abundant number, since it is smaller than the sum of its proper divisors (275456796).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132130020 is a wasteful number, since it uses less digits than its factorization.
132130020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2001 (or 1999 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 132130020 is about 11494.7822945891. The cubic root of 132130020 is about 509.3314577306.
Adding to 132130020 its reverse (20031231), we get a palindrome (152161251).
The spelling of 132130020 in words is "one hundred thirty-two million, one hundred thirty thousand, twenty".
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