| Base | Representation |
|---|---|
| bin | 1111100101011… |
| … | …00001010011000 |
| 3 | 100002222200221000 |
| 4 | 13302230022120 |
| 5 | 231431303400 |
| 6 | 20545545000 |
| 7 | 3145113642 |
| oct | 762541230 |
| 9 | 302880830 |
| 10 | 130728600 |
| 11 | 6787a372 |
| 12 | 37945160 |
| 13 | 21112302 |
| 14 | 1350d892 |
| 15 | b724600 |
| hex | 7cac298 |
130728600 has 192 divisors, whose sum is σ = 461577600. Its totient is φ = 33989760.
The previous prime is 130728583. The next prime is 130728617. The reversal of 130728600 is 6827031.
130728600 is a `hidden beast` number, since 1 + 30 + 7 + 28 + 600 = 666.
It is an interprime number because it is at equal distance from previous prime (130728583) and next prime (130728617).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231919 + ... + 232481.
It is an arithmetic number, because the mean of its divisors is an integer number (2404050).
Almost surely, 2130728600 is an apocalyptic number.
130728600 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 130728600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230788800).
130728600 is an abundant number, since it is smaller than the sum of its proper divisors (330849000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130728600 is a wasteful number, since it uses less digits than its factorization.
130728600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 631 (or 616 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 27.
The square root of 130728600 is about 11433.6608310724. The cubic root of 130728600 is about 507.5243341321.
It can be divided in two parts, 130728 and 600, that added together give a triangular number (131328 = T512).
The spelling of 130728600 in words is "one hundred thirty million, seven hundred twenty-eight thousand, six hundred".
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