Base | Representation |
---|---|
bin | 1011111010111… |
… | …10010001000100 |
3 | 20222011120100200 |
4 | 11331132101010 |
5 | 201100011321 |
6 | 13531210500 |
7 | 2322664425 |
oct | 575362104 |
9 | 228146320 |
10 | 100000836 |
11 | 514a2121 |
12 | 295a6a30 |
13 | 17943cc0 |
14 | d3d164c |
15 | 8ba4d26 |
hex | 5f5e444 |
100000836 has 72 divisors (see below), whose sum is σ = 274159704. Its totient is φ = 30551040.
The previous prime is 100000801. The next prime is 100000837. The reversal of 100000836 is 638000001.
It can be written as a sum of positive squares in 4 ways, for example, as 799236 + 99201600 = 894^2 + 9960^2 .
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 (100000837) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72796 + ... + 74156.
Almost surely, 2100000836 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 100000836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137079852).
100000836 is an abundant number, since it is smaller than the sum of its proper divisors (174158868).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100000836 is a wasteful number, since it uses less digits than its factorization.
100000836 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1541 (or 1536 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 100000836 is about 10000.0417999126. The cubic root of 100000836 is about 464.1601768138.
Adding to 100000836 its reverse (638000001), we get a palindrome (738000837).
The spelling of 100000836 in words is "one hundred million, eight hundred thirty-six", and thus it is an aban number.
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