Base | Representation |
---|---|
bin | 1000110010000001000100 |
3 | 11022221210000 |
4 | 20302001010 |
5 | 1042131040 |
6 | 121201300 |
7 | 25365300 |
oct | 10620104 |
9 | 4287700 |
10 | 2302020 |
11 | 13325a6 |
12 | 930230 |
13 | 627a56 |
14 | 43cd00 |
15 | 307130 |
hex | 232044 |
2302020 has 180 divisors, whose sum is σ = 8690220. Its totient is φ = 508032.
The previous prime is 2302019. The next prime is 2302043. The reversal of 2302020 is 202032.
It can be written as a sum of positive squares in 2 ways, for example, as 1016064 + 1285956 = 1008^2 + 1134^2 .
It is a tau number, because it is divible by the number of its divisors (180).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a junction number, because it is equal to n+sod(n) for n = 2301993 and 2302011.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 79366 + ... + 79394.
It is an arithmetic number, because the mean of its divisors is an integer number (48279).
22302020 is an apocalyptic number.
2302020 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 2302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345110).
2302020 is an abundant number, since it is smaller than the sum of its proper divisors (6388200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2302020 is a wasteful number, since it uses less digits than its factorization.
2302020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 64 (or 46 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 9.
The square root of 2302020 is about 1517.2409169278. The cubic root of 2302020 is about 132.0392445295.
Adding to 2302020 its reverse (202032), we get a palindrome (2504052).
The spelling of 2302020 in words is "two million, three hundred two thousand, twenty".
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