| Base | Representation |
|---|---|
| bin | 1111110101100… |
| … | …00001010000000 |
| 3 | 100020222002010020 |
| 4 | 13322300022000 |
| 5 | 233001421422 |
| 6 | 21103133440 |
| 7 | 3202065534 |
| oct | 772601200 |
| 9 | 306862106 |
| 10 | 132842112 |
| 11 | 68a93277 |
| 12 | 385a4280 |
| 13 | 216a2300 |
| 14 | 138ddbc4 |
| 15 | b9e095c |
| hex | 7eb0280 |
132842112 has 192 divisors, whose sum is σ = 403185600. Its totient is φ = 38658048.
The previous prime is 132842111. The next prime is 132842113. The reversal of 132842112 is 211248231.
It is an interprime number because it is at equal distance from previous prime (132842111) and next prime (132842113).
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (132842111) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1492564 + ... + 1492652.
It is an arithmetic number, because the mean of its divisors is an integer number (2099925).
Almost surely, 2132842112 is an apocalyptic number.
132842112 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 132842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201592800).
132842112 is an abundant number, since it is smaller than the sum of its proper divisors (270343488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132842112 is a wasteful number, since it uses less digits than its factorization.
132842112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 155 (or 130 counting only the distinct ones).
The product of its digits is 768, while the sum is 24.
The square root of 132842112 is about 11525.7152489553. The cubic root of 132842112 is about 510.2448036578.
The spelling of 132842112 in words is "one hundred thirty-two million, eight hundred forty-two thousand, one hundred twelve".
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