Base | Representation |
---|---|
bin | 1011001100011110… |
… | …0100011111001000 |
3 | 21202102122012121200 |
4 | 2303013210133020 |
5 | 22123301343440 |
6 | 1214105504200 |
7 | 134316660222 |
oct | 26307443710 |
9 | 7672565550 |
10 | 3005106120 |
11 | 1302338785 |
12 | 6ba4a2060 |
13 | 38b781703 |
14 | 207175412 |
15 | 128c51c30 |
hex | b31e47c8 |
3005106120 has 192 divisors, whose sum is σ = 10328947200. Its totient is φ = 755619840.
The previous prime is 3005106119. The next prime is 3005106149. The reversal of 3005106120 is 216015003.
3005106120 is a `hidden beast` number, since 3 + 0 + 0 + 51 + 0 + 612 + 0 = 666.
3005106120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×30051061202 = 18061325584922908800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 3005106093 and 3005106102.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1647529 + ... + 1649351.
It is an arithmetic number, because the mean of its divisors is an integer number (53796600).
Almost surely, 23005106120 is an apocalyptic number.
3005106120 is a gapful number since it is divisible by the number (30) 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 3005106120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5164473600).
3005106120 is an abundant number, since it is smaller than the sum of its proper divisors (7323841080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3005106120 is a wasteful number, since it uses less digits than its factorization.
3005106120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2100 (or 2093 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 18.
The square root of 3005106120 is about 54818.8482184732. The cubic root of 3005106120 is about 1443.0673619976.
The spelling of 3005106120 in words is "three billion, five million, one hundred six thousand, one hundred twenty".
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