Base | Representation |
---|---|
bin | 1111110000101… |
… | …10101001001000 |
3 | 100012210010120122 |
4 | 13320112221020 |
5 | 232321311240 |
6 | 21041442412 |
7 | 3163536401 |
oct | 770265110 |
9 | 305703518 |
10 | 132213320 |
11 | 686a3908 |
12 | 38340408 |
13 | 21512045 |
14 | 137b89a8 |
15 | b9194b5 |
hex | 7e16a48 |
132213320 has 64 divisors (see below), whose sum is σ = 309582000. Its totient is φ = 50756608.
The previous prime is 132213283. The next prime is 132213331. The reversal of 132213320 is 23312231.
It can be written as a sum of positive squares in 8 ways, for example, as 76352644 + 55860676 = 8738^2 + 7474^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339686 + ... + 340074.
Almost surely, 2132213320 is an apocalyptic number.
132213320 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 132213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154791000).
132213320 is an abundant number, since it is smaller than the sum of its proper divisors (177368680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132213320 is a wasteful number, since it uses less digits than its factorization.
132213320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 722 (or 718 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 17.
The square root of 132213320 is about 11498.4051067963. The cubic root of 132213320 is about 509.4384694897.
Adding to 132213320 its reverse (23312231), we get a palindrome (155525551).
The spelling of 132213320 in words is "one hundred thirty-two million, two hundred thirteen thousand, three hundred twenty".
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