Base | Representation |
---|---|
bin | 1111110000111… |
… | …11110110010000 |
3 | 100012212001022002 |
4 | 13320133312100 |
5 | 232324013044 |
6 | 21042333132 |
7 | 3164054333 |
oct | 770376620 |
9 | 305761262 |
10 | 132251024 |
11 | 6871a174 |
12 | 3835a1a8 |
13 | 21526259 |
14 | 137c861a |
15 | b92574e |
hex | 7e1fd90 |
132251024 has 60 divisors (see below), whose sum is σ = 279914004. Its totient is φ = 60475392.
The previous prime is 132251017. The next prime is 132251027. The reversal of 132251024 is 420152231.
It can be written as a sum of positive squares in 6 ways, for example, as 8596624 + 123654400 = 2932^2 + 11120^2 .
It is a junction number, because it is equal to n+sod(n) for n = 132250987 and 132251005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132251027) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170702 + ... + 171474.
Almost surely, 2132251024 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 132251024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139957002).
132251024 is an abundant number, since it is smaller than the sum of its proper divisors (147662980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132251024 is a wasteful number, since it uses less digits than its factorization.
132251024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 852 (or 829 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 20.
The square root of 132251024 is about 11500.0445216529. The cubic root of 132251024 is about 509.4868913443.
It can be divided in two parts, 13225 and 1024, that multiplied together give a square (13542400 = 36802).
The spelling of 132251024 in words is "one hundred thirty-two million, two hundred fifty-one thousand, twenty-four".
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