Base | Representation |
---|---|
bin | 11110101100111000100 |
3 | 1220010000000 |
4 | 3311213010 |
5 | 224143040 |
6 | 33321300 |
7 | 11360001 |
oct | 3654704 |
9 | 1803000 |
10 | 1006020 |
11 | 627924 |
12 | 406230 |
13 | 292ba2 |
14 | 1c28a8 |
15 | 14d130 |
hex | f59c4 |
1006020 has 96 divisors (see below), whose sum is σ = 3306240. Its totient is φ = 256608.
The previous prime is 1006007. The next prime is 1006021. The reversal of 1006020 is 206001.
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 = 1005993 and 1006011.
It is not an unprimeable number, because it can be changed into a prime (1006021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43729 + ... + 43751.
It is an arithmetic number, because the mean of its divisors is an integer number (34440).
21006020 is an apocalyptic number.
1006020 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 1006020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653120).
1006020 is an abundant number, since it is smaller than the sum of its proper divisors (2300220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1006020 is an equidigital number, since it uses as much as digits as its factorization.
1006020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 53 (or 33 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 1006020 is about 1003.0054835344. The cubic root of 1006020 is about 100.2002653369.
The spelling of 1006020 in words is "one million, six thousand, twenty".
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