Base | Representation |
---|---|
bin | 1111101111001… |
… | …11110000101000 |
3 | 100012102101011100 |
4 | 13313213300220 |
5 | 232244140123 |
6 | 21033401400 |
7 | 3162106500 |
oct | 767476050 |
9 | 305371140 |
10 | 132021288 |
11 | 68582603 |
12 | 38269260 |
13 | 21475809 |
14 | 13768a00 |
15 | b8cc643 |
hex | 7de7c28 |
132021288 has 144 divisors (see below), whose sum is σ = 434285280. Its totient is φ = 36058176.
The previous prime is 132021287. The next prime is 132021319. The reversal of 132021288 is 882120231.
It is not an unprimeable number, because it can be changed into a prime (132021287) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80331 + ... + 81957.
It is an arithmetic number, because the mean of its divisors is an integer number (3015870).
Almost surely, 2132021288 is an apocalyptic number.
132021288 is a gapful number since it is divisible by the number (18) 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 132021288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217142640).
132021288 is an abundant number, since it is smaller than the sum of its proper divisors (302263992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132021288 is a wasteful number, since it uses less digits than its factorization.
132021288 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1676 (or 1662 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 27.
The square root of 132021288 is about 11490.0516970116. The cubic root of 132021288 is about 509.1917069351.
The spelling of 132021288 in words is "one hundred thirty-two million, twenty-one thousand, two hundred eighty-eight".
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