Base | Representation |
---|---|
bin | 1111100000001… |
… | …01110000000000 |
3 | 100001201001220200 |
4 | 13300011300000 |
5 | 231243000401 |
6 | 20523205200 |
7 | 3136244463 |
oct | 760056000 |
9 | 301631820 |
10 | 130046976 |
11 | 67454244 |
12 | 37676800 |
13 | 20c33c97 |
14 | 133b32da |
15 | b63c686 |
hex | 7c05c00 |
130046976 has 132 divisors (see below), whose sum is σ = 381921072. Its totient is φ = 42614784.
The previous prime is 130046951. The next prime is 130046981. The reversal of 130046976 is 679640031.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 130046976.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 949180 + ... + 949316.
Almost surely, 2130046976 is an apocalyptic number.
130046976 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 130046976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190960536).
130046976 is an abundant number, since it is smaller than the sum of its proper divisors (251874096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130046976 is a wasteful number, since it uses less digits than its factorization.
130046976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 266 (or 245 counting only the distinct ones).
The product of its (nonzero) digits is 27216, while the sum is 36.
The square root of 130046976 is about 11403.8140988005. The cubic root of 130046976 is about 506.6407127364.
The spelling of 130046976 in words is "one hundred thirty million, forty-six thousand, nine hundred seventy-six".
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