Base | Representation |
---|---|
bin | 1101000011101… |
… | …01111110000000 |
3 | 21122002221220201 |
4 | 12201311332000 |
5 | 211020110404 |
6 | 14511414544 |
7 | 2500014220 |
oct | 641657600 |
9 | 248087821 |
10 | 109535104 |
11 | 56914388 |
12 | 30824454 |
13 | 19901893 |
14 | 10794080 |
15 | 9939ca4 |
hex | 6875f80 |
109535104 has 64 divisors (see below), whose sum is σ = 255277440. Its totient is φ = 45835776.
The previous prime is 109535099. The next prime is 109535119. The reversal of 109535104 is 401535901.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37107 + ... + 39949.
It is an arithmetic number, because the mean of its divisors is an integer number (3988710).
Almost surely, 2109535104 is an apocalyptic number.
109535104 is a gapful number since it is divisible by the number (14) 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 109535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127638720).
109535104 is an abundant number, since it is smaller than the sum of its proper divisors (145742336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
109535104 is an equidigital number, since it uses as much as digits as its factorization.
109535104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2907 (or 2895 counting only the distinct ones).
The product of its (nonzero) digits is 2700, while the sum is 28.
The square root of 109535104 is about 10465.9019678191. The cubic root of 109535104 is about 478.4660289246.
The spelling of 109535104 in words is "one hundred nine million, five hundred thirty-five thousand, one hundred four".
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