Base | Representation |
---|---|
bin | 1111110001000… |
… | …10111101011000 |
3 | 100012212200210002 |
4 | 13320202331120 |
5 | 232324420033 |
6 | 21042512132 |
7 | 3164136440 |
oct | 770427530 |
9 | 305780702 |
10 | 132263768 |
11 | 687287aa |
12 | 38365648 |
13 | 2152bcb0 |
14 | 137cd120 |
15 | b9293e8 |
hex | 7e22f58 |
132263768 has 64 divisors (see below), whose sum is σ = 308535360. Its totient is φ = 51757056.
The previous prime is 132263767. The next prime is 132263771. The reversal of 132263768 is 867362231.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132263767) 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, 69680 + ... + 71552.
It is an arithmetic number, because the mean of its divisors is an integer number (4820865).
Almost surely, 2132263768 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 132263768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154267680).
132263768 is an abundant number, since it is smaller than the sum of its proper divisors (176271592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132263768 is a wasteful number, since it uses less digits than its factorization.
132263768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1996 (or 1992 counting only the distinct ones).
The product of its digits is 72576, while the sum is 38.
The square root of 132263768 is about 11500.5985931168. The cubic root of 132263768 is about 509.5032559117.
The spelling of 132263768 in words is "one hundred thirty-two million, two hundred sixty-three thousand, seven hundred sixty-eight".
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