Base | Representation |
---|---|
bin | 101011000000… |
… | …111110000000 |
3 | 210012212222120 |
4 | 223000332000 |
5 | 10341314120 |
6 | 1041404240 |
7 | 164563050 |
oct | 53007600 |
9 | 23185876 |
10 | 11276160 |
11 | 6401a45 |
12 | 3939680 |
13 | 244a6ac |
14 | 16d7560 |
15 | ecb140 |
hex | ac0f80 |
11276160 has 128 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 2574336.
The previous prime is 11276147. The next prime is 11276183. The reversal of 11276160 is 6167211.
Added to its reverse (6167211) it gives a triangular number (17443371 = T5906).
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 11276160.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13021 + ... + 13859.
It is an arithmetic number, because the mean of its divisors is an integer number (321300).
Almost surely, 211276160 is an apocalyptic number.
11276160 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 11276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).
11276160 is an abundant number, since it is smaller than the sum of its proper divisors (29850240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11276160 is an equidigital number, since it uses as much as digits as its factorization.
11276160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 868 (or 856 counting only the distinct ones).
The product of its (nonzero) digits is 504, while the sum is 24.
The square root of 11276160 is about 3357.9994044073. Note that the first 3 decimals coincide. The cubic root of 11276160 is about 224.2437822113.
Adding to 11276160 its reverse (6167211), we get a triangular number (17443371 = T5906).
The spelling of 11276160 in words is "eleven million, two hundred seventy-six thousand, one hundred sixty".
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