Base | Representation |
---|---|
bin | 1111110000100… |
… | …00011101100000 |
3 | 100012201211211212 |
4 | 13320100131200 |
5 | 232320004000 |
6 | 21041125252 |
7 | 3163402520 |
oct | 770203540 |
9 | 305654755 |
10 | 132188000 |
11 | 6868688a |
12 | 38329828 |
13 | 21503669 |
14 | 137ad680 |
15 | b911c35 |
hex | 7e10760 |
132188000 has 96 divisors (see below), whose sum is σ = 371262528. Its totient is φ = 45312000.
The previous prime is 132187981. The next prime is 132188009. The reversal of 132188000 is 881231.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132188009) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25640 + ... + 30360.
It is an arithmetic number, because the mean of its divisors is an integer number (3867318).
Almost surely, 2132188000 is an apocalyptic number.
132188000 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 132188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185631264).
132188000 is an abundant number, since it is smaller than the sum of its proper divisors (239074528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132188000 is an equidigital number, since it uses as much as digits as its factorization.
132188000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4753 (or 4735 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 23.
The square root of 132188000 is about 11497.3040318155. The cubic root of 132188000 is about 509.4059467818.
The spelling of 132188000 in words is "one hundred thirty-two million, one hundred eighty-eight thousand".
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