Base | Representation |
---|---|
bin | 10111010011000000000000 |
3 | 102111021102020 |
4 | 113103000000 |
5 | 3030412021 |
6 | 334521440 |
7 | 102624030 |
oct | 27230000 |
9 | 12437366 |
10 | 6107136 |
11 | 34a1422 |
12 | 2066280 |
13 | 135a9b9 |
14 | b4d8c0 |
15 | 8097c6 |
hex | 5d3000 |
6107136 has 104 divisors (see below), whose sum is σ = 18872064. Its totient is φ = 1720320.
The previous prime is 6107119. The next prime is 6107173. The reversal of 6107136 is 6317016.
It is a super-3 number, since 3×61071363 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85981 + ... + 86051.
Almost surely, 26107136 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 6107136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9436032).
6107136 is an abundant number, since it is smaller than the sum of its proper divisors (12764928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6107136 is an equidigital number, since it uses as much as digits as its factorization.
6107136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 105 (or 83 counting only the distinct ones).
The product of its (nonzero) digits is 756, while the sum is 24.
The square root of 6107136 is about 2471.2620257674. The cubic root of 6107136 is about 182.7872351819.
The spelling of 6107136 in words is "six million, one hundred seven thousand, one hundred thirty-six".
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