Base | Representation |
---|---|
bin | 10111010010110000100000 |
3 | 102111020001111 |
4 | 113102300200 |
5 | 3030344034 |
6 | 334513104 |
7 | 102621112 |
oct | 27226040 |
9 | 12436044 |
10 | 6106144 |
11 | 34a0700 |
12 | 2065794 |
13 | 135a405 |
14 | b4d3b2 |
15 | 809364 |
hex | 5d2c20 |
6106144 has 72 divisors (see below), whose sum is σ = 14076720. Its totient is φ = 2597760.
The previous prime is 6106141. The next prime is 6106151. The reversal of 6106144 is 4416016.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is not an unprimeable number, because it can be changed into a prime (6106141) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73527 + ... + 73609.
It is an arithmetic number, because the mean of its divisors is an integer number (195510).
Almost surely, 26106144 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 6106144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7038360).
6106144 is an abundant number, since it is smaller than the sum of its proper divisors (7970576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6106144 is a wasteful number, since it uses less digits than its factorization.
6106144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 134 (or 115 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 22.
The square root of 6106144 is about 2471.0613104494. The cubic root of 6106144 is about 182.7773377572. Note that the first 3 decimals are identical.
The spelling of 6106144 in words is "six million, one hundred six thousand, one hundred forty-four".
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