Base | Representation |
---|---|
bin | 1100010101010… |
… | …10010101111000 |
3 | 21012200012221000 |
4 | 12022222111320 |
5 | 202441130133 |
6 | 14133245000 |
7 | 2364244212 |
oct | 612522570 |
9 | 235605830 |
10 | 103458168 |
11 | 53443720 |
12 | 2a793760 |
13 | 18584868 |
14 | da515b2 |
15 | 9139413 |
hex | 62aa578 |
103458168 has 64 divisors (see below), whose sum is σ = 313516800. Its totient is φ = 31350240.
The previous prime is 103458161. The next prime is 103458181. The reversal of 103458168 is 861854301.
103458168 is a `hidden beast` number, since 10 + 3 + 4 + 581 + 68 = 666.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
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 (103458161) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19396 + ... + 24147.
It is an arithmetic number, because the mean of its divisors is an integer number (4898700).
Almost surely, 2103458168 is an apocalyptic number.
103458168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
103458168 is an abundant number, since it is smaller than the sum of its proper divisors (210058632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103458168 is a wasteful number, since it uses less digits than its factorization.
103458168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 43569 (or 43559 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The square root of 103458168 is about 10171.4388362709. The cubic root of 103458168 is about 469.4488302796.
The spelling of 103458168 in words is "one hundred three million, four hundred fifty-eight thousand, one hundred sixty-eight".
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