Base | Representation |
---|---|
bin | 11011000001111110100100 |
3 | 111100000011000 |
4 | 123001332210 |
5 | 3303222423 |
6 | 411513300 |
7 | 114141600 |
oct | 33017644 |
9 | 14300130 |
10 | 7085988 |
11 | 3aaa898 |
12 | 2458830 |
13 | 16113c0 |
14 | d26500 |
15 | 94e843 |
hex | 6c1fa4 |
7085988 has 144 divisors (see below), whose sum is σ = 23237760. Its totient is φ = 1850688.
The previous prime is 7085983. The next prime is 7085999. The reversal of 7085988 is 8895807.
7085988 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×70859883 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a zygodrome in base 3.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (7085983) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68745 + ... + 68847.
Almost surely, 27085988 is an apocalyptic number.
7085988 is a gapful number since it is divisible by the number (78) 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 7085988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11618880).
7085988 is an abundant number, since it is smaller than the sum of its proper divisors (16151772).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7085988 is a wasteful number, since it uses less digits than its factorization.
7085988 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 143 (or 128 counting only the distinct ones).
The product of its (nonzero) digits is 161280, while the sum is 45.
The square root of 7085988 is about 2661.9519154185. The cubic root of 7085988 is about 192.0732142656.
The spelling of 7085988 in words is "seven million, eighty-five thousand, nine hundred eighty-eight".
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