Base | Representation |
---|---|
bin | 111101001110001… |
… | …000100010000000 |
3 | 2122120200212002100 |
4 | 331032020202000 |
5 | 4100420141021 |
6 | 245530350400 |
7 | 34311222525 |
oct | 7516104200 |
9 | 2576625070 |
10 | 1027115136 |
11 | 487863893 |
12 | 247b8b400 |
13 | 134a42048 |
14 | 9a5a914c |
15 | 6028a626 |
hex | 3d388880 |
1027115136 has 48 divisors (see below), whose sum is σ = 2955634110. Its totient is φ = 342371328.
The previous prime is 1027115113. The next prime is 1027115161. The reversal of 1027115136 is 6315117201.
It can be written as a sum of positive squares in only one way, i.e., 1026561600 + 553536 = 32040^2 + 744^2 .
It is a tau number, because it is divible by the number of its divisors (48).
It is an unprimeable number.
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 5 ways as a sum of consecutive naturals, for example, 444645 + ... + 446948.
Almost surely, 21027115136 is an apocalyptic number.
1027115136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
1027115136 is an abundant number, since it is smaller than the sum of its proper divisors (1928518974).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1027115136 is an equidigital number, since it uses as much as digits as its factorization.
1027115136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 891613 (or 891598 counting only the distinct ones).
The product of its (nonzero) digits is 1260, while the sum is 27.
The square root of 1027115136 is about 32048.6370381019. The cubic root of 1027115136 is about 1008.9578951753.
The spelling of 1027115136 in words is "one billion, twenty-seven million, one hundred fifteen thousand, one hundred thirty-six".
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