Base | Representation |
---|---|
bin | 1100010101111… |
… | …10110101101000 |
3 | 21012211111002100 |
4 | 12022332311220 |
5 | 203001321440 |
6 | 14135133400 |
7 | 2365044033 |
oct | 612766550 |
9 | 235744070 |
10 | 103542120 |
11 | 534a0800 |
12 | 2a814260 |
13 | 185b3b36 |
14 | da7401a |
15 | 9154230 |
hex | 62bed68 |
103542120 has 144 divisors (see below), whose sum is σ = 370040580. Its totient is φ = 25090560.
The previous prime is 103542119. The next prime is 103542133. The reversal of 103542120 is 21245301.
103542120 is a `hidden beast` number, since 1 + 0 + 3 + 542 + 120 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 101969604 + 1572516 = 10098^2 + 1254^2 .
It is a super-3 number, since 3×1035421203 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 103542093 and 103542102.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42372 + ... + 44748.
Almost surely, 2103542120 is an apocalyptic number.
103542120 is a gapful number since it is divisible by the number (10) 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 103542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185020290).
103542120 is an abundant number, since it is smaller than the sum of its proper divisors (266498460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103542120 is a wasteful number, since it uses less digits than its factorization.
103542120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2416 (or 2398 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 103542120 is about 10175.5648491865. The cubic root of 103542120 is about 469.5757753486.
Adding to 103542120 its reverse (21245301), we get a palindrome (124787421).
The spelling of 103542120 in words is "one hundred three million, five hundred forty-two thousand, one hundred twenty".
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