Base | Representation |
---|---|
bin | 1001000110100011001000 |
3 | 11111020010211 |
4 | 21012203020 |
5 | 1102323440 |
6 | 123050504 |
7 | 26165422 |
oct | 11064310 |
9 | 4436124 |
10 | 2386120 |
11 | 138a800 |
12 | 970a34 |
13 | 657109 |
14 | 461812 |
15 | 321eea |
hex | 2468c8 |
2386120 has 96 divisors (see below), whose sum is σ = 6463800. Its totient is φ = 788480.
The previous prime is 2386099. The next prime is 2386121. The reversal of 2386120 is 216832.
2386120 = T135 + T136 + ... + T255.
2386120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 2172676 + 213444 = 1474^2 + 462^2 .
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 2386091 and 2386100.
It is not an unprimeable number, because it can be changed into a prime (2386121) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82266 + ... + 82294.
22386120 is an apocalyptic number.
2386120 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 2386120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231900).
2386120 is an abundant number, since it is smaller than the sum of its proper divisors (4077680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2386120 is a wasteful number, since it uses less digits than its factorization.
2386120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 79 (or 64 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 22.
The square root of 2386120 is about 1544.7070919757. The cubic root of 2386120 is about 133.6279872522.
The spelling of 2386120 in words is "two million, three hundred eighty-six thousand, one hundred twenty".
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