Base | Representation |
---|---|
bin | 1111110010100… |
… | …00001100010000 |
3 | 100020020002221000 |
4 | 13321100030100 |
5 | 232401332130 |
6 | 21050502000 |
7 | 3165540543 |
oct | 771201420 |
9 | 306202830 |
10 | 132449040 |
11 | 68844a19 |
12 | 38434900 |
13 | 21595419 |
14 | 1383a85a |
15 | b964260 |
hex | 7e50310 |
132449040 has 160 divisors (see below), whose sum is σ = 483183360. Its totient is φ = 33232896.
The previous prime is 132449029. The next prime is 132449059. The reversal of 132449040 is 40944231.
132449040 is a `hidden beast` number, since 132 + 4 + 490 + 40 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 132448995 and 132449013.
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 31 ways as a sum of consecutive naturals, for example, 34917 + ... + 38523.
It is an arithmetic number, because the mean of its divisors is an integer number (3019896).
Almost surely, 2132449040 is an apocalyptic number.
132449040 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 132449040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241591680).
132449040 is an abundant number, since it is smaller than the sum of its proper divisors (350734320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132449040 is a wasteful number, since it uses less digits than its factorization.
132449040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3646 (or 3634 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 132449040 is about 11508.6506593953. The cubic root of 132449040 is about 509.7410450072.
The spelling of 132449040 in words is "one hundred thirty-two million, four hundred forty-nine thousand, forty".
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