Base | Representation |
---|---|
bin | 1110010101010… |
… | …11101101101000 |
3 | 22101020212122101 |
4 | 13022223231220 |
5 | 221240203000 |
6 | 15533103144 |
7 | 2660013565 |
oct | 712535550 |
9 | 271225571 |
10 | 120241000 |
11 | 61966930 |
12 | 34327ab4 |
13 | 1bbac829 |
14 | 11d7d86c |
15 | a851e6a |
hex | 72abb68 |
120241000 has 128 divisors (see below), whose sum is σ = 325503360. Its totient is φ = 41088000.
The previous prime is 120240961. The next prime is 120241007. The reversal of 120241000 is 142021.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (120241007) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186679 + ... + 187321.
It is an arithmetic number, because the mean of its divisors is an integer number (2542995).
Almost surely, 2120241000 is an apocalyptic number.
120241000 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 120241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162751680).
120241000 is an abundant number, since it is smaller than the sum of its proper divisors (205262360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120241000 is a wasteful number, since it uses less digits than its factorization.
120241000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 692 (or 678 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
The square root of 120241000 is about 10965.4457273747. The cubic root of 120241000 is about 493.5723924573.
Adding to 120241000 its reverse (142021), we get a palindrome (120383021).
It can be divided in two parts, 1 and 20241000, that added together give a square (20241001 = 44992).
The spelling of 120241000 in words is "one hundred twenty million, two hundred forty-one thousand".
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