Base | Representation |
---|---|
bin | 100000011100… |
… | …110000000000 |
3 | 121000011112200 |
4 | 200130300000 |
5 | 4134200433 |
6 | 502153200 |
7 | 132205623 |
oct | 40346000 |
9 | 17004480 |
10 | 8506368 |
11 | 488aa62 |
12 | 2a22800 |
13 | 19baa70 |
14 | 11b5dba |
15 | b30613 |
hex | 81cc00 |
8506368 has 132 divisors (see below), whose sum is σ = 26823888. Its totient is φ = 2580480.
The previous prime is 8506363. The next prime is 8506373. The reversal of 8506368 is 8636058.
It is an interprime number because it is at equal distance from previous prime (8506363) and next prime (8506373).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (8506361) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119773 + ... + 119843.
Almost surely, 28506368 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 8506368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411944).
8506368 is an abundant number, since it is smaller than the sum of its proper divisors (18317520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8506368 is a wasteful number, since it uses less digits than its factorization.
8506368 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 110 (or 89 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The square root of 8506368 is about 2916.5678459450. The cubic root of 8506368 is about 204.1337070400.
The spelling of 8506368 in words is "eight million, five hundred six thousand, three hundred sixty-eight".
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