Base | Representation |
---|---|
bin | 111111000000010… |
… | …111110100011000 |
3 | 2201200001022200200 |
4 | 333000113310120 |
5 | 4131101442133 |
6 | 252520302200 |
7 | 35123610621 |
oct | 7700276430 |
9 | 2650038620 |
10 | 1057062168 |
11 | 4a27584a8 |
12 | 256011960 |
13 | 13acc8b96 |
14 | a0562a48 |
15 | 62c03913 |
hex | 3f017d18 |
1057062168 has 96 divisors (see below), whose sum is σ = 2925296400. Its totient is φ = 344736000.
The previous prime is 1057062161. The next prime is 1057062179. The reversal of 1057062168 is 8612607501.
1057062168 is a `hidden beast` number, since 1 + 0 + 570 + 6 + 21 + 68 = 666.
1057062168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×10570621682 = 2234760854033720448, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1057062161) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1005243 + ... + 1006293.
Almost surely, 21057062168 is an apocalyptic number.
1057062168 is a gapful number since it is divisible by the number (18) 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 1057062168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462648200).
1057062168 is an abundant number, since it is smaller than the sum of its proper divisors (1868234232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1057062168 is a wasteful number, since it uses less digits than its factorization.
1057062168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1353 (or 1346 counting only the distinct ones).
The product of its (nonzero) digits is 20160, while the sum is 36.
The square root of 1057062168 is about 32512.4924913486. The cubic root of 1057062168 is about 1018.6699850689.
Adding to 1057062168 its reverse (8612607501), we get a palindrome (9669669669).
The spelling of 1057062168 in words is "one billion, fifty-seven million, sixty-two thousand, one hundred sixty-eight".
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