Base | Representation |
---|---|
bin | 1100010111000… |
… | …10001100000000 |
3 | 21020002211201000 |
4 | 12023202030000 |
5 | 203020440122 |
6 | 14142212000 |
7 | 2366216130 |
oct | 613421400 |
9 | 236084630 |
10 | 103686912 |
11 | 5358a56a |
12 | 2a884000 |
13 | 18634a04 |
14 | dab0ac0 |
15 | 91820ac |
hex | 62e2300 |
103686912 has 144 divisors (see below), whose sum is σ = 350586880. Its totient is φ = 29611008.
The previous prime is 103686887. The next prime is 103686929. The reversal of 103686912 is 219686301.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47313 + ... + 49455.
Almost surely, 2103686912 is an apocalyptic number.
103686912 is a gapful number since it is divisible by the number (12) 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 103686912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175293440).
103686912 is an abundant number, since it is smaller than the sum of its proper divisors (246899968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103686912 is an equidigital number, since it uses as much as digits as its factorization.
103686912 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2175 (or 2155 counting only the distinct ones).
The product of its (nonzero) digits is 15552, while the sum is 36.
The square root of 103686912 is about 10182.6770546846. The cubic root of 103686912 is about 469.7945563553.
The spelling of 103686912 in words is "one hundred three million, six hundred eighty-six thousand, nine hundred twelve".
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