Base | Representation |
---|---|
bin | 10000001101111… |
… | …10000010000000 |
3 | 100110222210012120 |
4 | 20012332002000 |
5 | 234311412142 |
6 | 21255524240 |
7 | 3241234461 |
oct | 1006760200 |
9 | 313883176 |
10 | 136044672 |
11 | 6a880415 |
12 | 39689680 |
13 | 22253c0a |
14 | 140d4d68 |
15 | be247ec |
hex | 81be080 |
136044672 has 64 divisors (see below), whose sum is σ = 362956800. Its totient is φ = 45149184.
The previous prime is 136044661. The next prime is 136044697. The reversal of 136044672 is 276440631.
It is a happy number.
136044672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (64).
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105729 + ... + 107007.
It is an arithmetic number, because the mean of its divisors is an integer number (5671200).
Almost surely, 2136044672 is an apocalyptic number.
136044672 is a gapful number since it is divisible by the number (12) 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 136044672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181478400).
136044672 is an abundant number, since it is smaller than the sum of its proper divisors (226912128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136044672 is a wasteful number, since it uses less digits than its factorization.
136044672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1573 (or 1561 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 33.
The square root of 136044672 is about 11663.8189286357. The cubic root of 136044672 is about 514.3126179929.
The spelling of 136044672 in words is "one hundred thirty-six million, forty-four thousand, six hundred seventy-two".
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