Base | Representation |
---|---|
bin | 1111110000001… |
… | …10011000110110 |
3 | 100012122202020210 |
4 | 13320012120312 |
5 | 232312143432 |
6 | 21040210250 |
7 | 3163141320 |
oct | 770063066 |
9 | 305582223 |
10 | 132146742 |
11 | 68658892 |
12 | 38309986 |
13 | 214ba950 |
14 | 1379c610 |
15 | b9048cc |
hex | 7e06636 |
132146742 has 64 divisors (see below), whose sum is σ = 327398400. Its totient is φ = 34625664.
The previous prime is 132146723. The next prime is 132146747. The reversal of 132146742 is 247641231.
It is a super-2 number, since 2×1321467422 = 34925522842429128, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132146747) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93759 + ... + 95157.
It is an arithmetic number, because the mean of its divisors is an integer number (5115600).
Almost surely, 2132146742 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132146742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163699200).
132146742 is an abundant number, since it is smaller than the sum of its proper divisors (195251658).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132146742 is a wasteful number, since it uses less digits than its factorization.
132146742 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1597.
The product of its digits is 8064, while the sum is 30.
The square root of 132146742 is about 11495.5096450745. The cubic root of 132146742 is about 509.3529433384.
Adding to 132146742 its reverse (247641231), we get a palindrome (379787973).
The spelling of 132146742 in words is "one hundred thirty-two million, one hundred forty-six thousand, seven hundred forty-two".
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