Base | Representation |
---|---|
bin | 1011111010111… |
… | …10001110110000 |
3 | 20222011120011012 |
4 | 11331132032300 |
5 | 201100010223 |
6 | 13531210052 |
7 | 2322664124 |
oct | 575361660 |
9 | 228146135 |
10 | 100000688 |
11 | 514a1aa7 |
12 | 295a6928 |
13 | 17943c08 |
14 | d3d1584 |
15 | 8ba4c78 |
hex | 5f5e3b0 |
100000688 has 40 divisors (see below), whose sum is σ = 202963200. Its totient is φ = 47640384.
The previous prime is 100000687. The next prime is 100000717. The reversal of 100000688 is 886000001.
It is a Harshad number since it is a multiple of its sum of digits (23).
It is not an unprimeable number, because it can be changed into a prime (100000687) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161243 + ... + 161861.
It is an arithmetic number, because the mean of its divisors is an integer number (5074080).
Almost surely, 2100000688 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 100000688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101481600).
100000688 is an abundant number, since it is smaller than the sum of its proper divisors (102962512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100000688 is a wasteful number, since it uses less digits than its factorization.
100000688 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1089 (or 1083 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 23.
The square root of 100000688 is about 10000.0343999408. The cubic root of 100000688 is about 464.1599478299.
Adding to 100000688 its reverse (886000001), we get a palindrome (986000689).
The spelling of 100000688 in words is "one hundred million, six hundred eighty-eight", and thus it is an aban number.
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