Base | Representation |
---|---|
bin | 11110101111110111110000 |
3 | 120011111210100 |
4 | 132233313300 |
5 | 4030413100 |
6 | 444432400 |
7 | 125340465 |
oct | 36576760 |
9 | 16144710 |
10 | 8060400 |
11 | 4605997 |
12 | 2848700 |
13 | 1892a8a |
14 | 10db66c |
15 | a93400 |
hex | 7afdf0 |
8060400 has 90 divisors (see below), whose sum is σ = 27984320. Its totient is φ = 2148480.
The previous prime is 8060387. The next prime is 8060401. The reversal of 8060400 is 40608.
It is a tau number, because it is divible by the number of its divisors (90).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8060401) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2481 + ... + 4719.
Almost surely, 28060400 is an apocalyptic number.
8060400 is a gapful number since it is divisible by the number (80) 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 8060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13992160).
8060400 is an abundant number, since it is smaller than the sum of its proper divisors (19923920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8060400 is a wasteful number, since it uses less digits than its factorization.
8060400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2263 (or 2249 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 8060400 is about 2839.0843594370. The cubic root of 8060400 is about 200.5020718977.
The spelling of 8060400 in words is "eight million, sixty thousand, four hundred".
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