Base | Representation |
---|---|
bin | 1111110010111… |
… | …01111110110000 |
3 | 100020022222101212 |
4 | 13321131332300 |
5 | 232410134040 |
6 | 21052015252 |
7 | 3166164320 |
oct | 771357660 |
9 | 306288355 |
10 | 132505520 |
11 | 688833a4 |
12 | 38461528 |
13 | 215b5044 |
14 | 13853280 |
15 | b975d65 |
hex | 7e5dfb0 |
132505520 has 80 divisors (see below), whose sum is σ = 354643968. Its totient is φ = 45100800.
The previous prime is 132505519. The next prime is 132505537. The reversal of 132505520 is 25505231.
It is a tau number, because it is divible by the number of its divisors (80).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83777 + ... + 85343.
Almost surely, 2132505520 is an apocalyptic number.
132505520 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 132505520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177321984).
132505520 is an abundant number, since it is smaller than the sum of its proper divisors (222138448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132505520 is a wasteful number, since it uses less digits than its factorization.
132505520 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1738 (or 1732 counting only the distinct ones).
The product of its (nonzero) digits is 1500, while the sum is 23.
The square root of 132505520 is about 11511.1042042021. The cubic root of 132505520 is about 509.8134906886.
The spelling of 132505520 in words is "one hundred thirty-two million, five hundred five thousand, five hundred twenty".
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