Base | Representation |
---|---|
bin | 1111110001011… |
… | …10111111100000 |
3 | 100012222012101120 |
4 | 13320232333200 |
5 | 232333004211 |
6 | 21043532240 |
7 | 3164433231 |
oct | 770567740 |
9 | 305865346 |
10 | 132313056 |
11 | 68761837 |
12 | 3838a080 |
13 | 21548565 |
14 | 13803088 |
15 | b938d06 |
hex | 7e2efe0 |
132313056 has 48 divisors (see below), whose sum is σ = 350424144. Its totient is φ = 43710464.
The previous prime is 132313033. The next prime is 132313061. The reversal of 132313056 is 650313231.
It is a happy number.
132313056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4750 + ... + 16946.
It is an arithmetic number, because the mean of its divisors is an integer number (7300503).
Almost surely, 2132313056 is an apocalyptic number.
132313056 is a gapful number since it is divisible by the number (16) 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 132313056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175212072).
132313056 is an abundant number, since it is smaller than the sum of its proper divisors (218111088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132313056 is a wasteful number, since it uses less digits than its factorization.
132313056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12323 (or 12315 counting only the distinct ones).
The product of its (nonzero) digits is 1620, while the sum is 24.
The square root of 132313056 is about 11502.7412385048. The cubic root of 132313056 is about 509.5665367283.
Adding to 132313056 its reverse (650313231), we get a palindrome (782626287).
The spelling of 132313056 in words is "one hundred thirty-two million, three hundred thirteen thousand, fifty-six".
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