Base | Representation |
---|---|
bin | 1111110101010… |
… | …10100000100000 |
3 | 100020220220101100 |
4 | 13322222200200 |
5 | 233000201401 |
6 | 21102434400 |
7 | 3201641223 |
oct | 772524040 |
9 | 306826340 |
10 | 132818976 |
11 | 68a77954 |
12 | 38592a00 |
13 | 21694914 |
14 | 138d55ba |
15 | b9d8b86 |
hex | 7eaa820 |
132818976 has 72 divisors (see below), whose sum is σ = 379783404. Its totient is φ = 44029440.
The previous prime is 132818953. The next prime is 132818981. The reversal of 132818976 is 679818231.
It can be written as a sum of positive squares in 2 ways, for example, as 112784400 + 20034576 = 10620^2 + 4476^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55566 + ... + 57906.
Almost surely, 2132818976 is an apocalyptic number.
132818976 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 132818976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189891702).
132818976 is an abundant number, since it is smaller than the sum of its proper divisors (246964428).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132818976 is a wasteful number, since it uses less digits than its factorization.
132818976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2554 (or 2543 counting only the distinct ones).
The product of its digits is 145152, while the sum is 45.
The square root of 132818976 is about 11524.7115365201. The cubic root of 132818976 is about 510.2151802475.
The spelling of 132818976 in words is "one hundred thirty-two million, eight hundred eighteen thousand, nine hundred seventy-six".
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