Base | Representation |
---|---|
bin | 101001111110… |
… | …011101000000 |
3 | 202201001020220 |
4 | 221332131000 |
5 | 10304104322 |
6 | 1031503040 |
7 | 162346536 |
oct | 51763500 |
9 | 22631226 |
10 | 11003712 |
11 | 6236285 |
12 | 3827a80 |
13 | 2383695 |
14 | 1666156 |
15 | e7555c |
hex | a7e740 |
11003712 has 56 divisors (see below), whose sum is σ = 29358336. Its totient is φ = 3637248.
The previous prime is 11003711. The next prime is 11003723. The reversal of 11003712 is 21730011.
11003712 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 junction number, because it is equal to n+sod(n) for n = 11003691 and 11003700.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11003711) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42688 + ... + 42944.
It is an arithmetic number, because the mean of its divisors is an integer number (524256).
Almost surely, 211003712 is an apocalyptic number.
11003712 is a gapful number since it is divisible by the number (12) 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 11003712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14679168).
11003712 is an abundant number, since it is smaller than the sum of its proper divisors (18354624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11003712 is a wasteful number, since it uses less digits than its factorization.
11003712 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 495 (or 485 counting only the distinct ones).
The product of its (nonzero) digits is 42, while the sum is 15.
The square root of 11003712 is about 3317.1843482086. The cubic root of 11003712 is about 222.4230226498.
Adding to 11003712 its reverse (21730011), we get a palindrome (32733723).
The spelling of 11003712 in words is "eleven million, three thousand, seven hundred twelve".
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