Base | Representation |
---|---|
bin | 100100101010101… |
… | …1010111010000000 |
3 | 10011202010100122121 |
4 | 1021111122322000 |
5 | 10004432231000 |
6 | 322030414024 |
7 | 42326551033 |
oct | 11125327200 |
9 | 3152110577 |
10 | 1230352000 |
11 | 581557739 |
12 | 2a4061314 |
13 | 167b90747 |
14 | b959101a |
15 | 73033b1a |
hex | 4955ae80 |
1230352000 has 128 divisors (see below), whose sum is σ = 3087564480. Its totient is φ = 487552000.
The previous prime is 1230351989. The next prime is 1230352007. The reversal of 1230352000 is 2530321.
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 (16).
It is not an unprimeable number, because it can be changed into a prime (1230352007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2095707 + ... + 2096293.
Almost surely, 21230352000 is an apocalyptic number.
1230352000 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 1230352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543782240).
1230352000 is an abundant number, since it is smaller than the sum of its proper divisors (1857212480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1230352000 is an equidigital number, since it uses as much as digits as its factorization.
1230352000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 747 (or 725 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 16.
The square root of 1230352000 is about 35076.3738148629. The cubic root of 1230352000 is about 1071.5434678901.
Adding to 1230352000 its reverse (2530321), we get a palindrome (1232882321).
The spelling of 1230352000 in words is "one billion, two hundred thirty million, three hundred fifty-two thousand".
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