Base | Representation |
---|---|
bin | 10000001110011… |
… | …00000010000000 |
3 | 100111002200212102 |
4 | 20013030002000 |
5 | 234320231031 |
6 | 21301045532 |
7 | 3241563611 |
oct | 1007140200 |
9 | 314080772 |
10 | 136102016 |
11 | 6a90a506 |
12 | 396b68a8 |
13 | 2227404b |
14 | 1410bc08 |
15 | be367cb |
hex | 81cc080 |
136102016 has 64 divisors (see below), whose sum is σ = 287884800. Its totient is φ = 63912960.
The previous prime is 136102007. The next prime is 136102027. The reversal of 136102016 is 610201631.
It is a tau number, because it is divible by the number of its divisors (64).
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 464366 + ... + 464658.
It is an arithmetic number, because the mean of its divisors is an integer number (4498200).
Almost surely, 2136102016 is an apocalyptic number.
136102016 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 136102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143942400).
136102016 is an abundant number, since it is smaller than the sum of its proper divisors (151782784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136102016 is a wasteful number, since it uses less digits than its factorization.
136102016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 517 (or 505 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 20.
The square root of 136102016 is about 11666.2768696787. The cubic root of 136102016 is about 514.3848702404.
Adding to 136102016 its reverse (610201631), we get a palindrome (746303647).
The spelling of 136102016 in words is "one hundred thirty-six million, one hundred two thousand, sixteen".
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