Base | Representation |
---|---|
bin | 1111111111111… |
… | …10000000000000 |
3 | 100100112112212120 |
4 | 13333332000000 |
5 | 233324201121 |
6 | 21152324240 |
7 | 3216522306 |
oct | 777760000 |
9 | 310475776 |
10 | 134209536 |
11 | 6983767a |
12 | 38b43680 |
13 | 21a60836 |
14 | 13b78276 |
15 | bbb0bc6 |
hex | 7ffe000 |
134209536 has 112 divisors (see below), whose sum is σ = 369076224. Its totient is φ = 43352064.
The previous prime is 134209519. The next prime is 134209549. The reversal of 134209536 is 635902431.
134209536 is a nontrivial binomial coefficient, being equal to C(16384, 2).
It is a nialpdrome in base 2 and base 8.
It is a zygodrome in base 2.
It is a junction number, because it is equal to n+sod(n) for n = 134209497 and 134209506.
It is a congruent number.
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, 1056705 + ... + 1056831.
Almost surely, 2134209536 is an apocalyptic number.
134209536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
134209536 is the 16383-rd triangular number and also the 8192-nd hexagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 134209536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184538112).
134209536 is an abundant number, since it is smaller than the sum of its proper divisors (234866688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
134209536 is an equidigital number, since it uses as much as digits as its factorization.
134209536 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 199 (or 175 counting only the distinct ones).
The product of its (nonzero) digits is 19440, while the sum is 33.
The square root of 134209536 is about 11584.8839441748. The cubic root of 134209536 is about 511.9895831214.
The spelling of 134209536 in words is "one hundred thirty-four million, two hundred nine thousand, five hundred thirty-six".
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