Base | Representation |
---|---|
bin | 1111110010010… |
… | …00101000100000 |
3 | 100020011112110100 |
4 | 13321020220200 |
5 | 232344334310 |
6 | 21050102400 |
7 | 3165351354 |
oct | 771105040 |
9 | 306145410 |
10 | 132418080 |
11 | 68823733 |
12 | 3841aa00 |
13 | 215842c2 |
14 | 1382d464 |
15 | b959ec0 |
hex | 7e48a20 |
132418080 has 72 divisors (see below), whose sum is σ = 451881612. Its totient is φ = 35311104.
The previous prime is 132418073. The next prime is 132418109. The reversal of 132418080 is 80814231.
It can be written as a sum of positive squares in 2 ways, for example, as 131882256 + 535824 = 11484^2 + 732^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44539 + ... + 47418.
Almost surely, 2132418080 is an apocalyptic number.
132418080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
132418080 is an abundant number, since it is smaller than the sum of its proper divisors (319463532).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132418080 is a wasteful number, since it uses less digits than its factorization.
132418080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 91978 (or 91967 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 27.
The square root of 132418080 is about 11507.3055056342. The cubic root of 132418080 is about 509.7013245417.
It can be divided in two parts, 13241 and 8080, that added together give a triangular number (21321 = T206).
The spelling of 132418080 in words is "one hundred thirty-two million, four hundred eighteen thousand, eighty".
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