Base | Representation |
---|---|
bin | 111111110010000… |
… | …111011000000000 |
3 | 2202120120211000000 |
4 | 333302013120000 |
5 | 4142421231031 |
6 | 254104000000 |
7 | 35342500644 |
oct | 7762073000 |
9 | 2676524000 |
10 | 1070102016 |
11 | 4aa054535 |
12 | 25a460000 |
13 | 140913279 |
14 | a2198c24 |
15 | 63e2c3e6 |
hex | 3fc87600 |
1070102016 has 280 divisors, whose sum is σ = 3327581664. Its totient is φ = 343388160.
The previous prime is 1070101961. The next prime is 1070102041. The reversal of 1070102016 is 6102010701.
It is a super-2 number, since 2×10701020162 = 2290236649294528512, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 1070102016.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17542626 + ... + 17542686.
Almost surely, 21070102016 is an apocalyptic number.
1070102016 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 1070102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663790832).
1070102016 is an abundant number, since it is smaller than the sum of its proper divisors (2257479648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1070102016 is an frugal number, since it uses more digits than its factorization.
1070102016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 144 (or 113 counting only the distinct ones).
The product of its (nonzero) digits is 84, while the sum is 18.
The square root of 1070102016 is about 32712.4137904863. The cubic root of 1070102016 is about 1022.8416263116.
Adding to 1070102016 its reverse (6102010701), we get a palindrome (7172112717).
The spelling of 1070102016 in words is "one billion, seventy million, one hundred two thousand, sixteen".
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