Base | Representation |
---|---|
bin | 101001111111… |
… | …111111010000 |
3 | 202201100212210 |
4 | 221333333100 |
5 | 10304310000 |
6 | 1031552120 |
7 | 162404061 |
oct | 51777720 |
9 | 22640783 |
10 | 11010000 |
11 | 623aa81 |
12 | 382b640 |
13 | 23864c1 |
14 | 1668568 |
15 | e77350 |
hex | a7ffd0 |
11010000 has 100 divisors (see below), whose sum is σ = 35638592. Its totient is φ = 2928000.
The previous prime is 11009989. The next prime is 11010007. The reversal of 11010000 is 1011.
It is a tau number, because it is divible by the number of its divisors (100).
It is a Harshad number since it is a multiple of its sum of digits (3).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11010007) 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, 29817 + ... + 30183.
Almost surely, 211010000 is an apocalyptic number.
11010000 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 11010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17819296).
11010000 is an abundant number, since it is smaller than the sum of its proper divisors (24628592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11010000 is an equidigital number, since it uses as much as digits as its factorization.
11010000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 398 (or 377 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 3.
The square root of 11010000 is about 3318.1320046074. The cubic root of 11010000 is about 222.4653819811.
Adding to 11010000 its reverse (1011), we get a palindrome (11011011).
The spelling of 11010000 in words is "eleven million, ten thousand".
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