| Base | Representation |
|---|---|
| bin | 100111100100010… |
| … | …0011101000000000 |
| 3 | 10102112012021000000 |
| 4 | 1033020203220000 |
| 5 | 10204334040021 |
| 6 | 335424000000 |
| 7 | 44620531461 |
| oct | 11710435000 |
| 9 | 3375167000 |
| 10 | 1327643136 |
| 11 | 621468a36 |
| 12 | 310760000 |
| 13 | 182096271 |
| 14 | c8478d68 |
| 15 | 7b850b26 |
| hex | 4f223a00 |
1327643136 has 140 divisors (see below), whose sum is σ = 3978338562. Its totient is φ = 442423296.
The previous prime is 1327643131. The next prime is 1327643143. The reversal of 1327643136 is 6313467231.
1327643136 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 643 + 1 + 3 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 1285652736 + 41990400 = 35856^2 + 6480^2 .
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 1327643136.
It is not an unprimeable number, because it can be changed into a prime (1327643131) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 371470 + ... + 375026.
Almost surely, 21327643136 is an apocalyptic number.
1327643136 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 1327643136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989169281).
1327643136 is an abundant number, since it is smaller than the sum of its proper divisors (2650695426).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1327643136 is an frugal number, since it uses more digits than its factorization.
1327643136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3593 (or 3562 counting only the distinct ones).
The product of its digits is 54432, while the sum is 36.
The square root of 1327643136 is about 36436.8376234821. The cubic root of 1327643136 is about 1099.0744655555.
The spelling of 1327643136 in words is "one billion, three hundred twenty-seven million, six hundred forty-three thousand, one hundred thirty-six".
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