Base | Representation |
---|---|
bin | 10000000000000… |
… | …10000000000000 |
3 | 100100120101100101 |
4 | 20000002000000 |
5 | 233330212140 |
6 | 21152532144 |
7 | 3216621133 |
oct | 1000020000 |
9 | 310511311 |
10 | 134225920 |
11 | 69848a14 |
12 | 38b51054 |
13 | 21a6812a |
14 | 13b8021a |
15 | bbb599a |
hex | 8002000 |
134225920 has 112 divisors (see below), whose sum is σ = 336179160. Its totient is φ = 51380224.
The previous prime is 134225909. The next prime is 134225929. The reversal of 134225920 is 29522431.
134225920 is a nontrivial binomial coefficient, being equal to C(16385, 2).
It can be written as a sum of positive squares in 4 ways, for example, as 68161536 + 66064384 = 8256^2 + 8128^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (134225929) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (2) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1187784 + ... + 1187896.
Almost surely, 2134225920 is an apocalyptic number.
134225920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
134225920 is the 16384-th triangular number.
134225920 is the 5462-nd centered nonagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 134225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168089580).
134225920 is an abundant number, since it is smaller than the sum of its proper divisors (201953240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
134225920 is an equidigital number, since it uses as much as digits as its factorization.
134225920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 173 (or 149 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 28.
The square root of 134225920 is about 11585.5910509564. The cubic root of 134225920 is about 512.0104164547.
The spelling of 134225920 in words is "one hundred thirty-four million, two hundred twenty-five thousand, nine hundred twenty".
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