Base | Representation |
---|---|
bin | 1100010100111… |
… | …01010111001000 |
3 | 21012120111222211 |
4 | 12022131113020 |
5 | 202432430000 |
6 | 14132154504 |
7 | 2363633206 |
oct | 612352710 |
9 | 235514884 |
10 | 103405000 |
11 | 53407786 |
12 | 2a768a34 |
13 | 185665ba |
14 | da3a076 |
15 | 91287ba |
hex | 629d5c8 |
103405000 has 40 divisors (see below), whose sum is σ = 242289630. Its totient is φ = 41360000.
The previous prime is 103404991. The next prime is 103405009. The reversal of 103405000 is 504301.
It is an interprime number because it is at equal distance from previous prime (103404991) and next prime (103405009).
It can be written as a sum of positive squares in 5 ways, for example, as 1758276 + 101646724 = 1326^2 + 10082^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is not an unprimeable number, because it can be changed into a prime (103405009) 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 9 ways as a sum of consecutive naturals, for example, 5341 + ... + 15340.
Almost surely, 2103405000 is an apocalyptic number.
103405000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
103405000 is an abundant number, since it is smaller than the sum of its proper divisors (138884630).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103405000 is an equidigital number, since it uses as much as digits as its factorization.
103405000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20707 (or 20688 counting only the distinct ones).
The product of its (nonzero) digits is 60, while the sum is 13.
The square root of 103405000 is about 10168.8249075299. The cubic root of 103405000 is about 469.3683986334.
Adding to 103405000 its reverse (504301), we get a palindrome (103909301).
The spelling of 103405000 in words is "one hundred three million, four hundred five thousand".
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