Base | Representation |
---|---|
bin | 111111110010000… |
… | …011000011010110 |
3 | 2202120112220201020 |
4 | 333302003003112 |
5 | 4142420144220 |
6 | 254103342010 |
7 | 35342365221 |
oct | 7762030326 |
9 | 2676486636 |
10 | 1070084310 |
11 | 4aa0421a9 |
12 | 25a451906 |
13 | 1409081a9 |
14 | a21925b8 |
15 | 63e27040 |
hex | 3fc830d6 |
1070084310 has 64 divisors (see below), whose sum is σ = 2653793280. Its totient is φ = 275999360.
The previous prime is 1070084293. The next prime is 1070084317. The reversal of 1070084310 is 134800701.
It is a super-4 number, since 4×10700843104 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1070084317) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108151 + ... + 117629.
It is an arithmetic number, because the mean of its divisors is an integer number (41465520).
Almost surely, 21070084310 is an apocalyptic number.
1070084310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 1070084310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326896640).
1070084310 is an abundant number, since it is smaller than the sum of its proper divisors (1583708970).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1070084310 is a wasteful number, since it uses less digits than its factorization.
1070084310 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9613.
The product of its (nonzero) digits is 672, while the sum is 24.
The square root of 1070084310 is about 32712.1431581607. The cubic root of 1070084310 is about 1022.8359849386.
The spelling of 1070084310 in words is "one billion, seventy million, eighty-four thousand, three hundred ten".
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