Base | Representation |
---|---|
bin | 101010110110… |
… | …111010111000 |
3 | 210010210112010 |
4 | 222312322320 |
5 | 10334010000 |
6 | 1040445520 |
7 | 164332050 |
oct | 52667270 |
9 | 23123463 |
10 | 11235000 |
11 | 6384027 |
12 | 39198a0 |
13 | 2434a3a |
14 | 16c6560 |
15 | ebdd50 |
hex | ab6eb8 |
11235000 has 160 divisors (see below), whose sum is σ = 40487040. Its totient is φ = 2544000.
The previous prime is 11234999. The next prime is 11235001. The reversal of 11235000 is 53211.
It is an interprime number because it is at equal distance from previous prime (11234999) and next prime (11235001).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11235001) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104947 + ... + 105053.
It is an arithmetic number, because the mean of its divisors is an integer number (253044).
Almost surely, 211235000 is an apocalyptic number.
11235000 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 11235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20243520).
11235000 is an abundant number, since it is smaller than the sum of its proper divisors (29252040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11235000 is a wasteful number, since it uses less digits than its factorization.
11235000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 143 (or 124 counting only the distinct ones).
The product of its (nonzero) digits is 30, while the sum is 12.
The square root of 11235000 is about 3351.8651524189. The cubic root of 11235000 is about 223.9706062621.
Adding to 11235000 its reverse (53211), we get a palindrome (11288211).
The spelling of 11235000 in words is "eleven million, two hundred thirty-five thousand".
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