Base | Representation |
---|---|
bin | 101100110111… |
… | …000110001100 |
3 | 211010110201000 |
4 | 230313012030 |
5 | 11002310022 |
6 | 1100020300 |
7 | 201646515 |
oct | 54670614 |
9 | 24113630 |
10 | 11760012 |
11 | 6702520 |
12 | 3b31690 |
13 | 25899b4 |
14 | 17c1a0c |
15 | 10746ac |
hex | b3718c |
11760012 has 96 divisors (see below), whose sum is σ = 35078400. Its totient is φ = 3369600.
The previous prime is 11759999. The next prime is 11760013. The reversal of 11760012 is 21006711.
11760012 is digitally balanced in base 2, because in such base 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 (18).
It is not an unprimeable number, because it can be changed into a prime (11760013) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22312 + ... + 22832.
It is an arithmetic number, because the mean of its divisors is an integer number (365400).
Almost surely, 211760012 is an apocalyptic number.
11760012 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 11760012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17539200).
11760012 is an abundant number, since it is smaller than the sum of its proper divisors (23318388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11760012 is a wasteful number, since it uses less digits than its factorization.
11760012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 564 (or 556 counting only the distinct ones).
The product of its (nonzero) digits is 84, while the sum is 18.
The square root of 11760012 is about 3429.2873895315. The cubic root of 11760012 is about 227.4063503772.
Adding to 11760012 its reverse (21006711), we get a palindrome (32766723).
The spelling of 11760012 in words is "eleven million, seven hundred sixty thousand, twelve".
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