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11324500 = 2253112971
BaseRepresentation
bin101011001100…
…110001010100
3210022100021221
4223030301110
510344341000
61042420124
7165154015
oct53146124
923270257
1011324500
1164352a0
123961644
1324666b5
14170b00c
15eda61a
hexaccc54

11324500 has 96 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 3920000.

The previous prime is 11324497. The next prime is 11324507. The reversal of 11324500 is 542311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11324507) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 159465 + ... + 159535.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 211324500 is an apocalyptic number.

11324500 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 11324500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

11324500 is an abundant number, since it is smaller than the sum of its proper divisors (16980140).

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

11324500 is a wasteful number, since it uses less digits than its factorization.

11324500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 11324500 is about 3365.1894448901. The cubic root of 11324500 is about 224.5637638134.

Adding to 11324500 its reverse (542311), we get a palindrome (11866811).

The spelling of 11324500 in words is "eleven million, three hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 71 100 110 116 125 142 145 220 250 275 284 290 319 355 500 550 580 638 710 725 781 1100 1276 1375 1420 1450 1562 1595 1775 2059 2750 2900 3124 3190 3550 3625 3905 4118 5500 6380 7100 7250 7810 7975 8236 8875 10295 14500 15620 15950 17750 19525 20590 22649 31900 35500 39050 39875 41180 45298 51475 78100 79750 90596 97625 102950 113245 159500 195250 205900 226490 257375 390500 452980 514750 566225 1029500 1132450 2264900 2831125 5662250 11324500