Base | Representation |
---|---|
bin | 1111110001100… |
… | …01010100000000 |
3 | 100012222200102120 |
4 | 13320301110000 |
5 | 232333310220 |
6 | 21044044240 |
7 | 3164503026 |
oct | 770612400 |
9 | 305880376 |
10 | 132322560 |
11 | 68768997 |
12 | 38393680 |
13 | 2154c996 |
14 | 13806716 |
15 | b93ba40 |
hex | 7e31500 |
132322560 has 144 divisors (see below), whose sum is σ = 447685056. Its totient is φ = 33193984.
The previous prime is 132322559. The next prime is 132322571. The reversal of 132322560 is 65223231.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 132322560.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 64267 + ... + 66293.
It is an arithmetic number, because the mean of its divisors is an integer number (3108924).
Almost surely, 2132322560 is an apocalyptic number.
132322560 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 132322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223842528).
132322560 is an abundant number, since it is smaller than the sum of its proper divisors (315362496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132322560 is a wasteful number, since it uses less digits than its factorization.
132322560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2068 (or 2054 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 24.
The square root of 132322560 is about 11503.1543500033. The cubic root of 132322560 is about 509.5787370976.
Adding to 132322560 its reverse (65223231), we get a palindrome (197545791).
The spelling of 132322560 in words is "one hundred thirty-two million, three hundred twenty-two thousand, five hundred sixty".
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