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12054820 = 2254161241
BaseRepresentation
bin101101111111…
…000100100100
3211200110002211
4231333010210
511041223240
61110213204
7204315151
oct55770444
924613084
1012054820
116893a68
124054204
132660c3b
14185b228
1510d1bea
hexb7f124

12054820 has 48 divisors (see below), whose sum is σ = 26467056. Its totient is φ = 4608000.

The previous prime is 12054803. The next prime is 12054839. The reversal of 12054820 is 2845021.

It can be written as a sum of positive squares in 8 ways, for example, as 3006756 + 9048064 = 1734^2 + 3008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12054791 and 12054800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49900 + ... + 50140.

It is an arithmetic number, because the mean of its divisors is an integer number (551397).

It is a vampire number, since it can be written as 25014820 (with its own digits).

Almost surely, 212054820 is an apocalyptic number.

12054820 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 12054820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13233528).

12054820 is an abundant number, since it is smaller than the sum of its proper divisors (14412236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12054820 is a wasteful number, since it uses less digits than its factorization.

12054820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 12054820 is about 3472.0051843279. The cubic root of 12054820 is about 229.2909480514.

Adding to 12054820 its reverse (2845021), we get a palindrome (14899841).

It can be divided in two parts, 1205 and 4820, that multiplied together give a square (5808100 = 24102).

The spelling of 12054820 in words is "twelve million, fifty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 41 61 82 122 164 205 241 244 305 410 482 610 820 964 1205 1220 2410 2501 4820 5002 9881 10004 12505 14701 19762 25010 29402 39524 49405 50020 58804 73505 98810 147010 197620 294020 602741 1205482 2410964 3013705 6027410 12054820