Base | Representation |
---|---|
bin | 111111101100001100000 |
3 | 10221000211121 |
4 | 13331201200 |
5 | 1013241013 |
6 | 112422024 |
7 | 23511400 |
oct | 7754140 |
9 | 3830747 |
10 | 2087008 |
11 | 11a6000 |
12 | 847914 |
13 | 580c21 |
14 | 3c4800 |
15 | 2b358d |
hex | 1fd860 |
2087008 has 72 divisors (see below), whose sum is σ = 5257224. Its totient is φ = 813120.
The previous prime is 2086969. The next prime is 2087011. The reversal of 2087008 is 8007802.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 189723 + ... + 189733.
It is an arithmetic number, because the mean of its divisors is an integer number (73017).
22087008 is an apocalyptic number.
2087008 is a gapful number since it is divisible by the number (28) 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 2087008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628612).
2087008 is an abundant number, since it is smaller than the sum of its proper divisors (3170216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2087008 is an equidigital number, since it uses as much as digits as its factorization.
2087008 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 57 (or 20 counting only the distinct ones).
The product of its (nonzero) digits is 896, while the sum is 25.
The square root of 2087008 is about 1444.6480540256. The cubic root of 2087008 is about 127.7932861384.
Multiplying 2087008 by its product of nonzero digits (896), we get a cube (1869959168 = 12323).
The spelling of 2087008 in words is "two million, eighty-seven thousand, eight".
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