Base | Representation |
---|---|
bin | 1100010011101… |
… | …01000101000000 |
3 | 21012021010122201 |
4 | 12021311011000 |
5 | 202412140000 |
6 | 14124442544 |
7 | 2362345153 |
oct | 611650500 |
9 | 235233581 |
10 | 103240000 |
11 | 53304816 |
12 | 2a6a9454 |
13 | 18509476 |
14 | d9d5c9a |
15 | 90e496a |
hex | 6275140 |
103240000 has 140 divisors (see below), whose sum is σ = 267804900. Its totient is φ = 39424000.
The previous prime is 103239991. The next prime is 103240001. The reversal of 103240000 is 42301.
It can be written as a sum of positive squares in 10 ways, for example, as 91240704 + 11999296 = 9552^2 + 3464^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (103240001) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1159956 + ... + 1160044.
Almost surely, 2103240000 is an apocalyptic number.
103240000 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 103240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133902450).
103240000 is an abundant number, since it is smaller than the sum of its proper divisors (164564900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103240000 is an frugal number, since it uses more digits than its factorization.
103240000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 150 (or 125 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 10.
The square root of 103240000 is about 10160.7086367044. The cubic root of 103240000 is about 469.1186137587.
Adding to 103240000 its reverse (42301), we get a palindrome (103282301).
The spelling of 103240000 in words is "one hundred three million, two hundred forty thousand".
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