Base | Representation |
---|---|
bin | 100100101000000000100 |
3 | 2020222021100 |
4 | 10211000010 |
5 | 301401012 |
6 | 41420100 |
7 | 13125633 |
oct | 4450004 |
9 | 2228240 |
10 | 1200132 |
11 | 74a74a |
12 | 49a630 |
13 | 33034b |
14 | 23351a |
15 | 18a8dc |
hex | 125004 |
1200132 has 72 divisors (see below), whose sum is σ = 3361176. Its totient is φ = 359424.
The previous prime is 1200109. The next prime is 1200139. The reversal of 1200132 is 2310021.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 715716 + 484416 = 846^2 + 696^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
1200132 is a modest number, since divided by 132 gives 120 as remainder.
It is not an unprimeable number, because it can be changed into a prime (1200139) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22618 + ... + 22670.
It is an arithmetic number, because the mean of its divisors is an integer number (46683).
21200132 is an apocalyptic number.
1200132 is a gapful number since it is divisible by the number (12) 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 1200132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680588).
1200132 is an abundant number, since it is smaller than the sum of its proper divisors (2161044).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1200132 is a wasteful number, since it uses less digits than its factorization.
1200132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 117 (or 112 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 1200132 is about 1095.5053628349. The cubic root of 1200132 is about 106.2697531902.
Adding to 1200132 its reverse (2310021), we get a palindrome (3510153).
The spelling of 1200132 in words is "one million, two hundred thousand, one hundred thirty-two".
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