Base | Representation |
---|---|
bin | 1111110011000… |
… | …11111111000000 |
3 | 100020101020010200 |
4 | 13321203333000 |
5 | 232411430422 |
6 | 21052325200 |
7 | 3166326111 |
oct | 771437700 |
9 | 306336120 |
10 | 132530112 |
11 | 6889a920 |
12 | 38473800 |
13 | 215c32b0 |
14 | 1385c208 |
15 | b97d2ac |
hex | 7e63fc0 |
132530112 has 168 divisors, whose sum is σ = 446562480. Its totient is φ = 37048320.
The previous prime is 132530089. The next prime is 132530161. The reversal of 132530112 is 211035231.
132530112 is a `hidden beast` number, since 132 + 530 + 1 + 1 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a zygodrome in base 2.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81564 + ... + 83172.
It is an arithmetic number, because the mean of its divisors is an integer number (2658110).
Almost surely, 2132530112 is an apocalyptic number.
132530112 is a gapful number since it is divisible by the number (12) 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 132530112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223281240).
132530112 is an abundant number, since it is smaller than the sum of its proper divisors (314032368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132530112 is a wasteful number, since it uses less digits than its factorization.
132530112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1651 (or 1638 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 18.
The square root of 132530112 is about 11512.1723406141. The cubic root of 132530112 is about 509.8450278850.
Adding to 132530112 its reverse (211035231), we get a palindrome (343565343).
It can be divided in two parts, 13 and 2530112, that added together give a triangular number (2530125 = T2249).
The spelling of 132530112 in words is "one hundred thirty-two million, five hundred thirty thousand, one hundred twelve".
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