Base | Representation |
---|---|
bin | 1000000111110011100000 |
3 | 11000011121022 |
4 | 20013303200 |
5 | 1021112440 |
6 | 113345012 |
7 | 24045230 |
oct | 10076340 |
9 | 4004538 |
10 | 2129120 |
11 | 1224704 |
12 | 868168 |
13 | 597146 |
14 | 3d5cc0 |
15 | 2c0cb5 |
hex | 207ce0 |
2129120 has 48 divisors (see below), whose sum is σ = 5751648. Its totient is φ = 729600.
The previous prime is 2129119. The next prime is 2129123. The reversal of 2129120 is 219212.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2129123) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170 + ... + 2070.
It is an arithmetic number, because the mean of its divisors is an integer number (119826).
22129120 is an apocalyptic number.
2129120 is a gapful number since it is divisible by the number (20) 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 2129120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875824).
2129120 is an abundant number, since it is smaller than the sum of its proper divisors (3622528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2129120 is a wasteful number, since it uses less digits than its factorization.
2129120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1923 (or 1915 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 17.
The square root of 2129120 is about 1459.1504377548. The cubic root of 2129120 is about 128.6471135807.
The spelling of 2129120 in words is "two million, one hundred twenty-nine thousand, one hundred twenty".
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