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11324520 = 2332583379
BaseRepresentation
bin101011001100…
…110001101000
3210022100022200
4223030301220
510344341040
61042420200
7165154044
oct53146150
923270280
1011324520
116435309
123961660
1324666cc
14170b024
15eda630
hexaccc68

11324520 has 96 divisors (see below), whose sum is σ = 37346400. Its totient is φ = 2975616.

The previous prime is 11324507. The next prime is 11324527. The reversal of 11324520 is 2542311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 11324493 and 11324502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11324527) 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 23 ways as a sum of consecutive naturals, for example, 29691 + ... + 30069.

It is an arithmetic number, because the mean of its divisors is an integer number (389025).

Almost surely, 211324520 is an apocalyptic number.

11324520 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 11324520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18673200).

11324520 is an abundant number, since it is smaller than the sum of its proper divisors (26021880).

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

11324520 is a wasteful number, since it uses less digits than its factorization.

11324520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 11324520 is about 3365.1924164897. The cubic root of 11324520 is about 224.5638960127.

Adding to 11324520 its reverse (2542311), we get a palindrome (13866831).

The spelling of 11324520 in words is "eleven million, three hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 83 90 120 166 180 249 332 360 379 415 498 664 747 758 830 996 1137 1245 1494 1516 1660 1895 1992 2274 2490 2988 3032 3320 3411 3735 3790 4548 4980 5685 5976 6822 7470 7580 9096 9960 11370 13644 14940 15160 17055 22740 27288 29880 31457 34110 45480 62914 68220 94371 125828 136440 157285 188742 251656 283113 314570 377484 471855 566226 629140 754968 943710 1132452 1258280 1415565 1887420 2264904 2831130 3774840 5662260 11324520