Base | Representation |
---|---|
bin | 1111110011000… |
… | …10100000001000 |
3 | 100020100220210210 |
4 | 13321202200020 |
5 | 232411232130 |
6 | 21052241120 |
7 | 3166302315 |
oct | 771424010 |
9 | 306326723 |
10 | 132524040 |
11 | 68896300 |
12 | 384701a0 |
13 | 215c05bc |
14 | 13859d0c |
15 | b97b5b0 |
hex | 7e62808 |
132524040 has 96 divisors (see below), whose sum is σ = 437048640. Its totient is φ = 32123520.
The previous prime is 132524017. The next prime is 132524087. The reversal of 132524040 is 40425231.
It is a junction number, because it is equal to n+sod(n) for n = 132523998 and 132524016.
It is a congruent number.
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 23 ways as a sum of consecutive naturals, for example, 9957 + ... + 19083.
It is an arithmetic number, because the mean of its divisors is an integer number (4552590).
Almost surely, 2132524040 is an apocalyptic number.
132524040 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 132524040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218524320).
132524040 is an abundant number, since it is smaller than the sum of its proper divisors (304524600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132524040 is a wasteful number, since it uses less digits than its factorization.
132524040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9163 (or 9148 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 21.
The square root of 132524040 is about 11511.9086167325. The cubic root of 132524040 is about 509.8372414124.
Adding to 132524040 its reverse (40425231), we get a palindrome (172949271).
The spelling of 132524040 in words is "one hundred thirty-two million, five hundred twenty-four thousand, forty".
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