Base | Representation |
---|---|
bin | 101000101001100010000 |
3 | 2111200010202 |
4 | 11011030100 |
5 | 320110414 |
6 | 44314332 |
7 | 14215223 |
oct | 5051420 |
9 | 2450122 |
10 | 1331984 |
11 | 82a815 |
12 | 5429a8 |
13 | 378374 |
14 | 2695ba |
15 | 1b49de |
hex | 145310 |
1331984 has 40 divisors (see below), whose sum is σ = 2812320. Its totient is φ = 608768.
The previous prime is 1331969. The next prime is 1331987. The reversal of 1331984 is 4891331.
It is not an unprimeable number, because it can be changed into a prime (1331987) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16007 + ... + 16089.
It is an arithmetic number, because the mean of its divisors is an integer number (70308).
21331984 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 1331984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406160).
1331984 is an abundant number, since it is smaller than the sum of its proper divisors (1480336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1331984 is a wasteful number, since it uses less digits than its factorization.
1331984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 167 (or 161 counting only the distinct ones).
The product of its digits is 2592, while the sum is 29.
The square root of 1331984 is about 1154.1161120095. The cubic root of 1331984 is about 110.0271007606.
The spelling of 1331984 in words is "one million, three hundred thirty-one thousand, nine hundred eighty-four".
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