Base | Representation |
---|---|
bin | 101011000110… |
… | …010001111100 |
3 | 210020222211100 |
4 | 223012101330 |
5 | 10343013131 |
6 | 1042053100 |
7 | 165013350 |
oct | 53062174 |
9 | 23228740 |
10 | 11297916 |
11 | 6417323 |
12 | 394a190 |
13 | 2457576 |
14 | 1701460 |
15 | ed27e6 |
hex | ac647c |
11297916 has 72 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 3190176.
The previous prime is 11297893. The next prime is 11297917. The reversal of 11297916 is 61979211.
11297916 = T405 + T406 + ... + T511.
11297916 is digitally balanced in base 2, base 4 and base 8, because in such bases 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 (36).
It is a nude number because it is divisible by every one of its digits.
11297916 is strictly pandigital in base 8.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11297917) 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, 26755 + ... + 27173.
It is an arithmetic number, because the mean of its divisors is an integer number (458640).
Almost surely, 211297916 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11297916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).
11297916 is an abundant number, since it is smaller than the sum of its proper divisors (21724164).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11297916 is a wasteful number, since it uses less digits than its factorization.
11297916 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 543 (or 538 counting only the distinct ones).
The product of its digits is 6804, while the sum is 36.
The square root of 11297916 is about 3361.2372721961. The cubic root of 11297916 is about 224.3879067329.
It can be divided in two parts, 1129 and 7916, that added together give a triangular number (9045 = T134).
The spelling of 11297916 in words is "eleven million, two hundred ninety-seven thousand, nine hundred sixteen".
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