Search a number
-
+
12033200 = 245267449
BaseRepresentation
bin101101111001…
…110010110000
3211122100110002
4231321302300
511040030300
61105525132
7204165134
oct55716260
924570402
1012033200
1168797a3
1240437a8
13265414a
1418533c4
1510ca5d5
hexb79cb0

12033200 has 60 divisors (see below), whose sum is σ = 29406600. Its totient is φ = 4730880.

The previous prime is 12033199. The next prime is 12033211. The reversal of 12033200 is 233021.

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 11 ways as a sum of consecutive naturals, for example, 26576 + ... + 27024.

It is an arithmetic number, because the mean of its divisors is an integer number (490110).

Almost surely, 212033200 is an apocalyptic number.

12033200 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 12033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14703300).

12033200 is an abundant number, since it is smaller than the sum of its proper divisors (17373400).

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

12033200 is a wasteful number, since it uses less digits than its factorization.

12033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 12033200 is about 3468.8903124775. The cubic root of 12033200 is about 229.1537902774.

Adding to 12033200 its reverse (233021), we get a palindrome (12266221).

The spelling of 12033200 in words is "twelve million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 134 200 268 335 400 449 536 670 898 1072 1340 1675 1796 2245 2680 3350 3592 4490 5360 6700 7184 8980 11225 13400 17960 22450 26800 30083 35920 44900 60166 89800 120332 150415 179600 240664 300830 481328 601660 752075 1203320 1504150 2406640 3008300 6016600 12033200