Base | Representation |
---|---|
bin | 10000001110100… |
… | …01111110000000 |
3 | 100111010221020011 |
4 | 20013101332000 |
5 | 234322020321 |
6 | 21301354304 |
7 | 3242024533 |
oct | 1007217600 |
9 | 314127204 |
10 | 136126336 |
11 | 6a926805 |
12 | 39708994 |
13 | 22282138 |
14 | 14116a1a |
15 | be3dae1 |
hex | 81d1f80 |
136126336 has 64 divisors (see below), whose sum is σ = 287884800. Its totient is φ = 63936000.
The previous prime is 136126321. The next prime is 136126337. The reversal of 136126336 is 633621631.
It is a tau number, because it is divible by the number of its divisors (64).
It is a junction number, because it is equal to n+sod(n) for n = 136126298 and 136126307.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (136126337) 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 7 ways as a sum of consecutive naturals, for example, 542211 + ... + 542461.
It is an arithmetic number, because the mean of its divisors is an integer number (4498200).
Almost surely, 2136126336 is an apocalyptic number.
136126336 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 136126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143942400).
136126336 is an abundant number, since it is smaller than the sum of its proper divisors (151758464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136126336 is a wasteful number, since it uses less digits than its factorization.
136126336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 507 (or 495 counting only the distinct ones).
The product of its digits is 11664, while the sum is 31.
The square root of 136126336 is about 11667.3191436594. The cubic root of 136126336 is about 514.4155068059.
Adding to 136126336 its reverse (633621631), we get a palindrome (769747967).
The spelling of 136126336 in words is "one hundred thirty-six million, one hundred twenty-six thousand, three hundred thirty-six".
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