Base | Representation |
---|---|
bin | 1110010011101… |
… | …00000011011100 |
3 | 22100211021220200 |
4 | 13021310003130 |
5 | 221210404040 |
6 | 15524143500 |
7 | 2655044121 |
oct | 711640334 |
9 | 270737820 |
10 | 120013020 |
11 | 61820616 |
12 | 34237b90 |
13 | 1bb2cb2a |
14 | 11d20748 |
15 | a809630 |
hex | 72740dc |
120013020 has 144 divisors (see below), whose sum is σ = 382505760. Its totient is φ = 30417408.
The previous prime is 120013009. The next prime is 120013051. The reversal of 120013020 is 20310021.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 120012993 and 120013011.
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 433122 + ... + 433398.
It is an arithmetic number, because the mean of its divisors is an integer number (2656290).
Almost surely, 2120013020 is an apocalyptic number.
120013020 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 120013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191252880).
120013020 is an abundant number, since it is smaller than the sum of its proper divisors (262492740).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120013020 is a wasteful number, since it uses less digits than its factorization.
120013020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 404 (or 399 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 120013020 is about 10955.0454129593. The cubic root of 120013020 is about 493.2602531550.
Adding to 120013020 its reverse (20310021), we get a palindrome (140323041).
The spelling of 120013020 in words is "one hundred twenty million, thirteen thousand, twenty".
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