Base | Representation |
---|---|
bin | 100110001001… |
… | …011100111100 |
3 | 200211001200100 |
4 | 212021130330 |
5 | 10030001223 |
6 | 554201100 |
7 | 151000032 |
oct | 46113474 |
9 | 20731610 |
10 | 10000188 |
11 | 5710320 |
12 | 3423190 |
13 | 20c1993 |
14 | 1484552 |
15 | d28043 |
hex | 98973c |
10000188 has 36 divisors (see below), whose sum is σ = 27577368. Its totient is φ = 3030240.
The previous prime is 10000169. The next prime is 10000189. The reversal of 10000188 is 88100001.
It is a happy number.
10000188 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (36).
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 10000188.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10000189) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12231 + ... + 13022.
It is an arithmetic number, because the mean of its divisors is an integer number (766038).
Almost surely, 210000188 is an apocalyptic number.
10000188 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
10000188 is an abundant number, since it is smaller than the sum of its proper divisors (17577180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10000188 is a wasteful number, since it uses less digits than its factorization.
10000188 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 25274 (or 25269 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
The square root of 10000188 is about 3162.3073854387. The cubic root of 10000188 is about 215.4448191071. Note that the first 3 decimals are identical.
Adding to 10000188 its reverse (88100001), we get a palindrome (98100189).
It can be divided in two parts, 100001 and 88, that multiplied together give a palindrome (8800088).
The spelling of 10000188 in words is "ten million, one hundred eighty-eight", and thus it is an aban number.
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