Base | Representation |
---|---|
bin | 10100001111000… |
… | …00111011000000 |
3 | 102211101210021100 |
4 | 22013200323000 |
5 | 321423221031 |
6 | 24502054400 |
7 | 4130532453 |
oct | 1207407300 |
9 | 384353240 |
10 | 169742016 |
11 | 878a6764 |
12 | 48a1a400 |
13 | 29221a82 |
14 | 1878749a |
15 | ed7dde6 |
hex | a1e0ec0 |
169742016 has 84 divisors (see below), whose sum is σ = 494613184. Its totient is φ = 55641600.
The previous prime is 169742011. The next prime is 169742033. The reversal of 169742016 is 610247961.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (169742011) 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 11 ways as a sum of consecutive naturals, for example, 32721 + ... + 37551.
Almost surely, 2169742016 is an apocalyptic number.
169742016 is a gapful number since it is divisible by the number (16) 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 169742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247306592).
169742016 is an abundant number, since it is smaller than the sum of its proper divisors (324871168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
169742016 is a wasteful number, since it uses less digits than its factorization.
169742016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4910 (or 4897 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 36.
The square root of 169742016 is about 13028.5078193936. The cubic root of 169742016 is about 553.6854596481.
Adding to 169742016 its reverse (610247961), we get a palindrome (779989977).
The spelling of 169742016 in words is "one hundred sixty-nine million, seven hundred forty-two thousand, sixteen".
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