Base | Representation |
---|---|
bin | 1111100101010… |
… | …11110101000000 |
3 | 100002222122001100 |
4 | 13302223311000 |
5 | 231431232412 |
6 | 20545534400 |
7 | 3145106646 |
oct | 762536500 |
9 | 302878040 |
10 | 130727232 |
11 | 67879339 |
12 | 37944400 |
13 | 211117bc |
14 | 1350d196 |
15 | b723edc |
hex | 7cabd40 |
130727232 has 84 divisors (see below), whose sum is σ = 379961140. Its totient is φ = 42964992.
The previous prime is 130727227. The next prime is 130727237. The reversal of 130727232 is 232727031.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (130727227) and next prime (130727237).
It can be written as a sum of positive squares in 2 ways, for example, as 47114496 + 83612736 = 6864^2 + 9144^2 .
It is a junction number, because it is equal to n+sod(n) for n = 130727196 and 130727205.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130727237) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40494 + ... + 43602.
Almost surely, 2130727232 is an apocalyptic number.
130727232 is a gapful number since it is divisible by the number (12) 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 130727232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189980570).
130727232 is an abundant number, since it is smaller than the sum of its proper divisors (249233908).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130727232 is a wasteful number, since it uses less digits than its factorization.
130727232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3200 (or 3187 counting only the distinct ones).
The product of its (nonzero) digits is 3528, while the sum is 27.
The square root of 130727232 is about 11433.6010075566. The cubic root of 130727232 is about 507.5225638087.
The spelling of 130727232 in words is "one hundred thirty million, seven hundred twenty-seven thousand, two hundred thirty-two".
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