Base | Representation |
---|---|
bin | 100011100101101000000 |
3 | 2012020122112 |
4 | 10130231000 |
5 | 244304034 |
6 | 40554452 |
7 | 12624560 |
oct | 4345500 |
9 | 2166575 |
10 | 1166144 |
11 | 727161 |
12 | 482a28 |
13 | 31aa35 |
14 | 224da0 |
15 | 1807ce |
hex | 11cb40 |
1166144 has 56 divisors (see below), whose sum is σ = 2804160. Its totient is φ = 470016.
The previous prime is 1166141. The next prime is 1166147. The reversal of 1166144 is 4416611.
It is an interprime number because it is at equal distance from previous prime (1166141) and next prime (1166147).
It is a tau number, because it is divible by the number of its divisors (56).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1166141) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8444 + ... + 8580.
21166144 is an apocalyptic number.
1166144 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 1166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402080).
1166144 is an abundant number, since it is smaller than the sum of its proper divisors (1638016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1166144 is a wasteful number, since it uses less digits than its factorization.
1166144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 175 (or 165 counting only the distinct ones).
The product of its digits is 576, while the sum is 23.
The square root of 1166144 is about 1079.8814749777. The cubic root of 1166144 is about 105.2569368955.
The spelling of 1166144 in words is "one million, one hundred sixty-six thousand, one hundred forty-four".
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