Base | Representation |
---|---|
bin | 101000101001101000000 |
3 | 2111200012112 |
4 | 11011031000 |
5 | 320111112 |
6 | 44314452 |
7 | 14215322 |
oct | 5051500 |
9 | 2450175 |
10 | 1332032 |
11 | 82a859 |
12 | 542a28 |
13 | 3783b0 |
14 | 269612 |
15 | 1b4a22 |
hex | 145340 |
1332032 has 28 divisors (see below), whose sum is σ = 2848356. Its totient is φ = 614400.
The previous prime is 1332017. The next prime is 1332047. The reversal of 1332032 is 2302331.
It is an interprime number because it is at equal distance from previous prime (1332017) and next prime (1332047).
It can be written as a sum of positive squares in 2 ways, for example, as 891136 + 440896 = 944^2 + 664^2 .
It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 1331998 and 1332016.
It is a congruent number.
It is an unprimeable number.
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 3 ways as a sum of consecutive naturals, for example, 32 + ... + 1632.
It is an arithmetic number, because the mean of its divisors is an integer number (101727).
21332032 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 1332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424178).
1332032 is an abundant number, since it is smaller than the sum of its proper divisors (1516324).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1332032 is a wasteful number, since it uses less digits than its factorization.
1332032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1626 (or 1616 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 14.
The square root of 1332032 is about 1154.1369069569. The cubic root of 1332032 is about 110.0284224075.
Adding to 1332032 its reverse (2302331), we get a palindrome (3634363).
Subtracting 1332032 from its reverse (2302331), we obtain a cube (970299 = 993).
The spelling of 1332032 in words is "one million, three hundred thirty-two thousand, thirty-two".
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