Base | Representation |
---|---|
bin | 1000000111110001… |
… | …1111111001010100 |
3 | 12121221021120121200 |
4 | 2001330133321110 |
5 | 13431102321043 |
6 | 1000155312500 |
7 | 105011500263 |
oct | 20174377124 |
9 | 5557246550 |
10 | 2180120148 |
11 | a19691598 |
12 | 50a14b730 |
13 | 289890b2b |
14 | 1697845da |
15 | cb5e17d3 |
hex | 81f1fe54 |
2180120148 has 72 divisors (see below), whose sum is σ = 5628790440. Its totient is φ = 711321600.
The previous prime is 2180120147. The next prime is 2180120161. The reversal of 2180120148 is 8410210812.
It can be written as a sum of positive squares in 4 ways, for example, as 548121744 + 1631998404 = 23412^2 + 40398^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2180120141) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320236 + ... + 326972.
It is an arithmetic number, because the mean of its divisors is an integer number (78177645).
Almost surely, 22180120148 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 2180120148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814395220).
2180120148 is an abundant number, since it is smaller than the sum of its proper divisors (3448670292).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2180120148 is a wasteful number, since it uses less digits than its factorization.
2180120148 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6937 (or 6932 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 27.
The square root of 2180120148 is about 46691.7567457041. The cubic root of 2180120148 is about 1296.6620774071.
The spelling of 2180120148 in words is "two billion, one hundred eighty million, one hundred twenty thousand, one hundred forty-eight".
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