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12005500 = 2253131847
BaseRepresentation
bin101101110011…
…000001111100
3211120221110011
4231303001330
511033134000
61105153004
7204021313
oct55630174
924527404
1012005500
11685aa01
12402b764
132644660
14184727a
1510c22ba
hexb7307c

12005500 has 48 divisors (see below), whose sum is σ = 28252224. Its totient is φ = 4430400.

The previous prime is 12005489. The next prime is 12005509. The reversal of 12005500 is 550021.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005509) by changing a digit.

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, 5577 + ... + 7423.

It is an arithmetic number, because the mean of its divisors is an integer number (588588).

Almost surely, 212005500 is an apocalyptic number.

12005500 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 12005500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126112).

12005500 is an abundant number, since it is smaller than the sum of its proper divisors (16246724).

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

12005500 is a wasteful number, since it uses less digits than its factorization.

12005500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 12005500 is about 3464.8953808160. The cubic root of 12005500 is about 228.9778205479.

Adding to 12005500 its reverse (550021), we get a palindrome (12555521).

It can be divided in two parts, 12005 and 500, that multiplied together give a square (6002500 = 24502).

The spelling of 12005500 in words is "twelve million, five thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 1847 3250 3694 6500 7388 9235 18470 24011 36940 46175 48022 92350 96044 120055 184700 230875 240110 461750 480220 600275 923500 1200550 2401100 3001375 6002750 12005500