Base | Representation |
---|---|
bin | 1111100111010… |
… | …10010001110000 |
3 | 100010110121221010 |
4 | 13303222101300 |
5 | 232012424044 |
6 | 20555230520 |
7 | 3150223464 |
oct | 763522160 |
9 | 303417833 |
10 | 130983024 |
11 | 67a33537 |
12 | 37a48440 |
13 | 211a1063 |
14 | 135784a4 |
15 | b774bb9 |
hex | 7cea470 |
130983024 has 80 divisors (see below), whose sum is σ = 355111200. Its totient is φ = 41545728.
The previous prime is 130983019. The next prime is 130983037. The reversal of 130983024 is 420389031.
It is a junction number, because it is equal to n+sod(n) for n = 130982982 and 130983000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100972 + ... + 102260.
It is an arithmetic number, because the mean of its divisors is an integer number (4438890).
Almost surely, 2130983024 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 130983024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177555600).
130983024 is an abundant number, since it is smaller than the sum of its proper divisors (224128176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130983024 is a wasteful number, since it uses less digits than its factorization.
130983024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1402 (or 1396 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 30.
The square root of 130983024 is about 11444.7815182292. The cubic root of 130983024 is about 507.8533687200.
The spelling of 130983024 in words is "one hundred thirty million, nine hundred eighty-three thousand, twenty-four".
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