Base | Representation |
---|---|
bin | 111011100111000… |
… | …110101111110100 |
3 | 2120200212200212212 |
4 | 323213012233310 |
5 | 4022011410441 |
6 | 243123432552 |
7 | 33532524560 |
oct | 7347065764 |
9 | 2520780785 |
10 | 1000106996 |
11 | 473597209 |
12 | 23ab25758 |
13 | 12c276ab5 |
14 | 96b786a0 |
15 | 5cc02eeb |
hex | 3b9c6bf4 |
1000106996 has 48 divisors (see below), whose sum is σ = 2070942720. Its totient is φ = 413544960.
The previous prime is 1000106981. The next prime is 1000107011. The reversal of 1000106996 is 6996010001.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (1000106981) and next prime (1000107011).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322220 + ... + 325308.
It is an arithmetic number, because the mean of its divisors is an integer number (43144640).
Almost surely, 21000106996 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1000106996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035471360).
1000106996 is an abundant number, since it is smaller than the sum of its proper divisors (1070835724).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1000106996 is a wasteful number, since it uses less digits than its factorization.
1000106996 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3504 (or 3502 counting only the distinct ones).
The product of its (nonzero) digits is 2916, while the sum is 32.
The square root of 1000106996 is about 31624.4683117361. The cubic root of 1000106996 is about 1000.0356640614.
Adding to 1000106996 its reverse (6996010001), we get a palindrome (7996116997).
The spelling of 1000106996 in words is "one billion, one hundred six thousand, nine hundred ninety-six".
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