Search a number
-
+
11324200 = 2352411381
BaseRepresentation
bin101011001100…
…101100101000
3210022022212211
4223030230220
510344333300
61042414504
7165153106
oct53145450
923268784
1011324200
116435048
123961434
132466514
14170ac76
15eda4ba
hexaccb28

11324200 has 48 divisors (see below), whose sum is σ = 26990460. Its totient is φ = 4416000.

The previous prime is 11324189. The next prime is 11324213. The reversal of 11324200 is 242311.

It can be written as a sum of positive squares in 6 ways, for example, as 1249924 + 10074276 = 1118^2 + 3174^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7510 + ... + 8890.

Almost surely, 211324200 is an apocalyptic number.

11324200 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 11324200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13495230).

11324200 is an abundant number, since it is smaller than the sum of its proper divisors (15666260).

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

11324200 is a wasteful number, since it uses less digits than its factorization.

11324200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 11324200 is about 3365.1448705814. The cubic root of 11324200 is about 224.5617808053.

Adding to 11324200 its reverse (242311), we get a palindrome (11566511).

The spelling of 11324200 in words is "eleven million, three hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1381 1640 2050 2762 4100 5524 6905 8200 11048 13810 27620 34525 55240 56621 69050 113242 138100 226484 276200 283105 452968 566210 1132420 1415525 2264840 2831050 5662100 11324200