Base | Representation |
---|---|
bin | 1000001000001… |
… | …10010001100000 |
3 | 11202022001200100 |
4 | 10010012101200 |
5 | 114423330021 |
6 | 10433222400 |
7 | 1455355440 |
oct | 404062140 |
9 | 152261610 |
10 | 68183136 |
11 | 3553aaaa |
12 | 1aa01a00 |
13 | 11183868 |
14 | 90ac120 |
15 | 5ebc626 |
hex | 4106460 |
68183136 has 144 divisors (see below), whose sum is σ = 228953088. Its totient is φ = 18835200.
The previous prime is 68183131. The next prime is 68183179. The reversal of 68183136 is 63138186.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 68183136.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (68183131) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 61951 + ... + 63041.
It is an arithmetic number, because the mean of its divisors is an integer number (1589952).
Almost surely, 268183136 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 68183136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114476544).
68183136 is an abundant number, since it is smaller than the sum of its proper divisors (160769952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68183136 is a wasteful number, since it uses less digits than its factorization.
68183136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1145 (or 1134 counting only the distinct ones).
The product of its digits is 20736, while the sum is 36.
The square root of 68183136 is about 8257.3080359158. The cubic root of 68183136 is about 408.5316023206.
The spelling of 68183136 in words is "sixty-eight million, one hundred eighty-three thousand, one hundred thirty-six".
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