Base | Representation |
---|---|
bin | 10011110100010… |
… | …10001101000000 |
3 | 102120210220220100 |
4 | 21322022031000 |
5 | 320024203323 |
6 | 24255042400 |
7 | 4056011616 |
oct | 1172121500 |
9 | 376726810 |
10 | 166241088 |
11 | 85925432 |
12 | 47810400 |
13 | 28597410 |
14 | 181156b6 |
15 | e8db943 |
hex | 9e8a340 |
166241088 has 126 divisors (see below), whose sum is σ = 516621014. Its totient is φ = 50807808.
The previous prime is 166241083. The next prime is 166241093. The reversal of 166241088 is 880142661.
166241088 is a `hidden beast` number, since 16 + 624 + 10 + 8 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (166241083) and next prime (166241093).
It can be written as a sum of positive squares in 3 ways, for example, as 9290304 + 156950784 = 3048^2 + 12528^2 .
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 (166241083) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1115638 + ... + 1115786.
Almost surely, 2166241088 is an apocalyptic number.
166241088 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 166241088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258310507).
166241088 is an abundant number, since it is smaller than the sum of its proper divisors (350379926).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
166241088 is a wasteful number, since it uses less digits than its factorization.
166241088 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 329 (or 167 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
The square root of 166241088 is about 12893.4513610592. The cubic root of 166241088 is about 549.8523989600.
The spelling of 166241088 in words is "one hundred sixty-six million, two hundred forty-one thousand, eighty-eight".
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