Base | Representation |
---|---|
bin | 100000111101000… |
… | …1111000100010100 |
3 | 2212001201201000000 |
4 | 1001322033010110 |
5 | 4231040110413 |
6 | 301420451300 |
7 | 36255006201 |
oct | 10172170424 |
9 | 2761651000 |
10 | 1105785108 |
11 | 51820679a |
12 | 26a3a9b30 |
13 | 148127c1c |
14 | a6c06ca8 |
15 | 6712a073 |
hex | 41e8f114 |
1105785108 has 126 divisors (see below), whose sum is σ = 2992658046. Its totient is φ = 357338304.
The previous prime is 1105785103. The next prime is 1105785113. The reversal of 1105785108 is 8015875011.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (1105785103) and next prime (1105785113).
It can be written as a sum of positive squares in 3 ways, for example, as 425514384 + 680270724 = 20628^2 + 26082^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1105785101) by changing a digit.
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 41 ways as a sum of consecutive naturals, for example, 3991866 + ... + 3992142.
Almost surely, 21105785108 is an apocalyptic number.
1105785108 is a gapful number since it is divisible by the number (18) 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 1105785108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496329023).
1105785108 is an abundant number, since it is smaller than the sum of its proper divisors (1886872938).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1105785108 is an equidigital number, since it uses as much as digits as its factorization.
1105785108 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 373 (or 319 counting only the distinct ones).
The product of its (nonzero) digits is 11200, while the sum is 36.
The square root of 1105785108 is about 33253.3473202323. The cubic root of 1105785108 is about 1034.0866043662.
The spelling of 1105785108 in words is "one billion, one hundred five million, seven hundred eighty-five thousand, one hundred eight".
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