Base | Representation |
---|---|
bin | 110010001111110… |
… | …1001001010000000 |
3 | 11100111112112000202 |
4 | 1210133221022000 |
5 | 11423110013030 |
6 | 435145104332 |
7 | 56531622260 |
oct | 14437511200 |
9 | 4314475022 |
10 | 1686016640 |
11 | 795792290 |
12 | 3b07880a8 |
13 | 20b3c18a9 |
14 | 11dcc57a0 |
15 | 9d040745 |
hex | 647e9280 |
1686016640 has 128 divisors (see below), whose sum is σ = 5025352320. Its totient is φ = 525496320.
The previous prime is 1686016621. The next prime is 1686016643. The reversal of 1686016640 is 466106861.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×16860166402 = 5685304220713779200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1686016594 and 1686016603.
It is not an unprimeable number, because it can be changed into a prime (1686016643) 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, 32174 + ... + 66386.
It is an arithmetic number, because the mean of its divisors is an integer number (39260565).
Almost surely, 21686016640 is an apocalyptic number.
1686016640 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 1686016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512676160).
1686016640 is an abundant number, since it is smaller than the sum of its proper divisors (3339335680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1686016640 is a wasteful number, since it uses less digits than its factorization.
1686016640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 34250 (or 34238 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 38.
The square root of 1686016640 is about 41061.1329605017. The cubic root of 1686016640 is about 1190.2018441603.
The spelling of 1686016640 in words is "one billion, six hundred eighty-six million, sixteen thousand, six hundred forty".
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