Base | Representation |
---|---|
bin | 100111010110000… |
… | …1010111100100000 |
3 | 10102000012012200222 |
4 | 1032230022330200 |
5 | 10200432431031 |
6 | 335000302212 |
7 | 44500350320 |
oct | 11654127440 |
9 | 3360165628 |
10 | 1320202016 |
11 | 618246351 |
12 | 30a171968 |
13 | 18068c333 |
14 | c749d280 |
15 | 7ad80e7b |
hex | 4eb0af20 |
1320202016 has 96 divisors (see below), whose sum is σ = 3077803008. Its totient is φ = 545725440.
The previous prime is 1320201989. The next prime is 1320202021. The reversal of 1320202016 is 6102020231.
It is a junction number, because it is equal to n+sod(n) for n = 1320201985 and 1320202003.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 723281 + ... + 725103.
It is an arithmetic number, because the mean of its divisors is an integer number (32060448).
Almost surely, 21320202016 is an apocalyptic number.
1320202016 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 1320202016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538901504).
1320202016 is an abundant number, since it is smaller than the sum of its proper divisors (1757600992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1320202016 is a wasteful number, since it uses less digits than its factorization.
1320202016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1954 (or 1946 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 17.
The square root of 1320202016 is about 36334.5842965074. The cubic root of 1320202016 is about 1097.0172681714.
Adding to 1320202016 its reverse (6102020231), we get a palindrome (7422222247).
The spelling of 1320202016 in words is "one billion, three hundred twenty million, two hundred two thousand, sixteen".
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