Base | Representation |
---|---|
bin | 1111000111010… |
… | …00011001011100 |
3 | 22211120010212100 |
4 | 13203220121130 |
5 | 224423443040 |
6 | 20325205100 |
7 | 3066422652 |
oct | 743503134 |
9 | 284503770 |
10 | 126781020 |
11 | 65623503 |
12 | 36560790 |
13 | 2035c572 |
14 | 12ba2dd2 |
15 | b1e4b30 |
hex | 78e865c |
126781020 has 108 divisors (see below), whose sum is σ = 395118360. Its totient is φ = 32904960.
The previous prime is 126781007. The next prime is 126781021. The reversal of 126781020 is 20187621.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (126781021) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 302371 + ... + 302789.
It is equal to the Eulerian number A(17, 2).
Almost surely, 2126781020 is an apocalyptic number.
126781020 is a gapful number since it is divisible by the number (10) 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 126781020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197559180).
126781020 is an abundant number, since it is smaller than the sum of its proper divisors (268337340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126781020 is a wasteful number, since it uses less digits than its factorization.
126781020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 516 (or 470 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 27.
The square root of 126781020 is about 11259.7078114843. The cubic root of 126781020 is about 502.3635034325.
The spelling of 126781020 in words is "one hundred twenty-six million, seven hundred eighty-one thousand, twenty".
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