Base | Representation |
---|---|
bin | 100110100010… |
… | …101111010000 |
3 | 201000022202100 |
4 | 212202233100 |
5 | 10041310020 |
6 | 1000320400 |
7 | 151611012 |
oct | 46425720 |
9 | 21008670 |
10 | 10103760 |
11 | 5781117 |
12 | 3473100 |
13 | 2129b74 |
14 | 14b01b2 |
15 | d48a90 |
hex | 9a2bd0 |
10103760 has 60 divisors (see below), whose sum is σ = 33934212. Its totient is φ = 2694144.
The previous prime is 10103759. The next prime is 10103767. The reversal of 10103760 is 6730101.
It can be written as a sum of positive squares in 2 ways, for example, as 2286144 + 7817616 = 1512^2 + 2796^2 .
It is a tau number, because it is divible by the number of its divisors (60).
It is a super-2 number, since 2×101037602 = 204171932275200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10103767) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6297 + ... + 7736.
Almost surely, 210103760 is an apocalyptic number.
10103760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
10103760 is an abundant number, since it is smaller than the sum of its proper divisors (23830452).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10103760 is a wasteful number, since it uses less digits than its factorization.
10103760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14052 (or 14043 counting only the distinct ones).
The product of its (nonzero) digits is 126, while the sum is 18.
The square root of 10103760 is about 3178.6412191375. The cubic root of 10103760 is about 216.1860536866.
Adding to 10103760 its reverse (6730101), we get a palindrome (16833861).
The spelling of 10103760 in words is "ten million, one hundred three thousand, seven hundred sixty".
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