Base | Representation |
---|---|
bin | 100101100110010000000 |
3 | 2022120222122 |
4 | 10230302000 |
5 | 303411000 |
6 | 42223412 |
7 | 13320560 |
oct | 4546200 |
9 | 2276878 |
10 | 1232000 |
11 | 771690 |
12 | 4b4b68 |
13 | 3419c3 |
14 | 240da0 |
15 | 195085 |
hex | 12cc80 |
1232000 has 128 divisors (see below), whose sum is σ = 3818880. Its totient is φ = 384000.
The previous prime is 1231999. The next prime is 1232003. The reversal of 1232000 is 2321.
Added to its reverse (2321) it gives a square (1234321 = 11112).
1232000 = T139 + T140 + ... + T215.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (8).
It is not an unprimeable number, because it can be changed into a prime (1232003) 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 15 ways as a sum of consecutive naturals, for example, 111995 + ... + 112005.
It is an arithmetic number, because the mean of its divisors is an integer number (29835).
21232000 is an apocalyptic number.
1232000 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 1232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909440).
1232000 is an abundant number, since it is smaller than the sum of its proper divisors (2586880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1232000 is an equidigital number, since it uses as much as digits as its factorization.
1232000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 47 (or 25 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 8.
The square root of 1232000 is about 1109.9549540409. The cubic root of 1232000 is about 107.2021682193.
Adding to 1232000 its reverse (2321), we get a palindrome (1234321).
The spelling of 1232000 in words is "one million, two hundred thirty-two thousand".
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