Base | Representation |
---|---|
bin | 111101010001100010100 |
3 | 10210000020000 |
4 | 13222030110 |
5 | 1003222303 |
6 | 111011300 |
7 | 23031504 |
oct | 7521424 |
9 | 3700200 |
10 | 2007828 |
11 | 1151569 |
12 | 809b30 |
13 | 553b84 |
14 | 3a3a04 |
15 | 299da3 |
hex | 1ea314 |
2007828 has 30 divisors (see below), whose sum is σ = 5249706. Its totient is φ = 669168.
The previous prime is 2007827. The next prime is 2007851. The reversal of 2007828 is 8287002.
It can be written as a sum of positive squares in only one way, i.e., 1633284 + 374544 = 1278^2 + 612^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2007823) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2775 + ... + 3422.
22007828 is an apocalyptic number.
It is an amenable number.
2007828 is an abundant number, since it is smaller than the sum of its proper divisors (3241878).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2007828 is a wasteful number, since it uses less digits than its factorization.
2007828 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6213 (or 6202 counting only the distinct ones).
The product of its (nonzero) digits is 1792, while the sum is 27.
The square root of 2007828 is about 1416.9784754893. The cubic root of 2007828 is about 126.1562686961.
The spelling of 2007828 in words is "two million, seven thousand, eight hundred twenty-eight".
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