Base | Representation |
---|---|
bin | 1111110000111… |
… | …11100110000000 |
3 | 100012211222212120 |
4 | 13320133212000 |
5 | 232323444414 |
6 | 21042324240 |
7 | 3164051316 |
oct | 770374600 |
9 | 305758776 |
10 | 132249984 |
11 | 68719409 |
12 | 38359680 |
13 | 21525939 |
14 | 137c80b6 |
15 | b9252a9 |
hex | 7e1f980 |
132249984 has 64 divisors (see below), whose sum is σ = 352512000. Its totient is φ = 43930112.
The previous prime is 132249917. The next prime is 132249989. The reversal of 132249984 is 489942231.
It is a tau number, because it is divible by the number of its divisors (64).
It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132249989) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183577 + ... + 184295.
It is an arithmetic number, because the mean of its divisors is an integer number (5508000).
Almost surely, 2132249984 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176256000).
132249984 is an abundant number, since it is smaller than the sum of its proper divisors (220262016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132249984 is an equidigital number, since it uses as much as digits as its factorization.
132249984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1215 (or 1203 counting only the distinct ones).
The product of its digits is 124416, while the sum is 42.
The square root of 132249984 is about 11499.9993043478. Note that the first 3 decimals coincide. The cubic root of 132249984 is about 509.4855558341.
The spelling of 132249984 in words is "one hundred thirty-two million, two hundred forty-nine thousand, nine hundred eighty-four".
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