| Base | Representation |
|---|---|
| bin | 1111100011110… |
| … | …11001011000000 |
| 3 | 100002121111200000 |
| 4 | 13301323023000 |
| 5 | 231403343221 |
| 6 | 20541400000 |
| 7 | 3143316630 |
| oct | 761731300 |
| 9 | 302544600 |
| 10 | 130527936 |
| 11 | 67752630 |
| 12 | 37869000 |
| 13 | 21071b86 |
| 14 | 1349a6c0 |
| 15 | b6d4e26 |
| hex | 7c7b2c0 |
130527936 has 336 divisors, whose sum is σ = 488167680. Its totient is φ = 33592320.
The previous prime is 130527913. The next prime is 130527959. The reversal of 130527936 is 639725031.
It is an interprime number because it is at equal distance from previous prime (130527913) and next prime (130527959).
It is a tau number, because it is divible by the number of its divisors (336).
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 130527936.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1197450 + ... + 1197558.
It is an arithmetic number, because the mean of its divisors is an integer number (1452880).
Almost surely, 2130527936 is an apocalyptic number.
130527936 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 130527936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244083840).
130527936 is an abundant number, since it is smaller than the sum of its proper divisors (357639744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130527936 is a wasteful number, since it uses less digits than its factorization.
130527936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 154 (or 132 counting only the distinct ones).
The product of its (nonzero) digits is 34020, while the sum is 36.
The square root of 130527936 is about 11424.8823188688. The cubic root of 130527936 is about 507.2645235642.
It can be divided in two parts, 1305 and 27936, that added together give a square (29241 = 1712).
The spelling of 130527936 in words is "one hundred thirty million, five hundred twenty-seven thousand, nine hundred thirty-six".
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