| Base | Representation |
|---|---|
| bin | 100111001011011… |
| … | …0101010000100000 |
| 3 | 10101121200000101010 |
| 4 | 1032112311100200 |
| 5 | 10143014430120 |
| 6 | 334240340520 |
| 7 | 44401661565 |
| oct | 11626652040 |
| 9 | 3347600333 |
| 10 | 1314608160 |
| 11 | 615075628 |
| 12 | 308314740 |
| 13 | 17c481168 |
| 14 | c684486c |
| 15 | 7a6287e0 |
| hex | 4e5b5420 |
1314608160 has 96 divisors (see below), whose sum is σ = 4171450752. Its totient is φ = 347985920.
The previous prime is 1314608159. The next prime is 1314608167. The reversal of 1314608160 is 618064131.
1314608160 is nontrivially palindromic in base 14.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×13146081602 = 3456389228677171200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is not an unprimeable number, because it can be changed into a prime (1314608167) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 55765 + ... + 75755.
It is an arithmetic number, because the mean of its divisors is an integer number (43452612).
Almost surely, 21314608160 is an apocalyptic number.
1314608160 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 1314608160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085725376).
1314608160 is an abundant number, since it is smaller than the sum of its proper divisors (2856842592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1314608160 is a wasteful number, since it uses less digits than its factorization.
1314608160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20146 (or 20138 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 30.
The square root of 1314608160 is about 36257.5255636675. The cubic root of 1314608160 is about 1095.4656762876.
The spelling of 1314608160 in words is "one billion, three hundred fourteen million, six hundred eight thousand, one hundred sixty".
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