Base | Representation |
---|---|
bin | 100111101011… |
… | …001010100010 |
3 | 201120101200200 |
4 | 213223022202 |
5 | 10130303133 |
6 | 1010530030 |
7 | 154254630 |
oct | 47531242 |
9 | 21511620 |
10 | 10400418 |
11 | 5963a96 |
12 | 3596916 |
13 | 2201bc2 |
14 | 154a350 |
15 | da6913 |
hex | 9eb2a2 |
10400418 has 48 divisors (see below), whose sum is σ = 25945920. Its totient is φ = 2949408.
The previous prime is 10400417. The next prime is 10400431. The reversal of 10400418 is 81400401.
10400418 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 10400418.
It is not an unprimeable number, because it can be changed into a prime (10400417) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24613 + ... + 25031.
It is an arithmetic number, because the mean of its divisors is an integer number (540540).
Almost surely, 210400418 is an apocalyptic number.
10400418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 10400418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972960).
10400418 is an abundant number, since it is smaller than the sum of its proper divisors (15545502).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10400418 is a wasteful number, since it uses less digits than its factorization.
10400418 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 631 (or 628 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
The square root of 10400418 is about 3224.9679068171. The cubic root of 10400418 is about 218.2815009463.
Adding to 10400418 its reverse (81400401), we get a palindrome (91800819).
The spelling of 10400418 in words is "ten million, four hundred thousand, four hundred eighteen".
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