Base | Representation |
---|---|
bin | 101101100100… |
… | …101101100100 |
3 | 211110222000000 |
4 | 231210231210 |
5 | 11024244402 |
6 | 1104021300 |
7 | 203355321 |
oct | 55445544 |
9 | 24428000 |
10 | 11946852 |
11 | 681a935 |
12 | 4001830 |
13 | 2623a58 |
14 | 182db48 |
15 | 10aec1c |
hex | b64b64 |
11946852 has 84 divisors (see below), whose sum is σ = 33327756. Its totient is φ = 3732480.
The previous prime is 11946829. The next prime is 11946853. The reversal of 11946852 is 25864911.
11946852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 2802276 = 3024^2 + 1674^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 8.
It is not an unprimeable number, because it can be changed into a prime (11946853) by changing a digit.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 49452 + ... + 49692.
It is an arithmetic number, because the mean of its divisors is an integer number (396759).
Almost surely, 211946852 is an apocalyptic number.
11946852 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 11946852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16663878).
11946852 is an abundant number, since it is smaller than the sum of its proper divisors (21380904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11946852 is a wasteful number, since it uses less digits than its factorization.
11946852 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 280 (or 263 counting only the distinct ones).
The product of its digits is 17280, while the sum is 36.
The square root of 11946852 is about 3456.4218492539. The cubic root of 11946852 is about 228.6043523258.
It can be divided in two parts, 119 and 46852, that added together give a triangular number (46971 = T306).
The spelling of 11946852 in words is "eleven million, nine hundred forty-six thousand, eight hundred fifty-two".
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