Base | Representation |
---|---|
bin | 1111110000001… |
… | …00110010000000 |
3 | 100012122102020000 |
4 | 13320010302000 |
5 | 232311441120 |
6 | 21040120000 |
7 | 3163113165 |
oct | 770046200 |
9 | 305572200 |
10 | 132140160 |
11 | 68653949 |
12 | 38306000 |
13 | 214b7959 |
14 | 1379a06c |
15 | b902990 |
hex | 7e04c80 |
132140160 has 160 divisors (see below), whose sum is σ = 472081500. Its totient is φ = 35223552.
The previous prime is 132140143. The next prime is 132140207. The reversal of 132140160 is 61041231.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 127780416 + 4359744 = 11304^2 + 2088^2 .
It is a tau number, because it is divible by the number of its divisors (160).
It is a super-2 number, since 2×1321401602 = 34922043769651200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50566 + ... + 53114.
Almost surely, 2132140160 is an apocalyptic number.
132140160 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 132140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236040750).
132140160 is an abundant number, since it is smaller than the sum of its proper divisors (339941340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132140160 is an equidigital number, since it uses as much as digits as its factorization.
132140160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2580 (or 2559 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 132140160 is about 11495.2233558118. The cubic root of 132140160 is about 509.3444865358.
Adding to 132140160 its reverse (61041231), we get a palindrome (193181391).
The spelling of 132140160 in words is "one hundred thirty-two million, one hundred forty thousand, one hundred sixty".
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