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11243520 = 21232561
BaseRepresentation
bin101010111001…
…000000000000
3210011020012200
4222321000000
510334243040
61040553200
7164365641
oct52710000
923136180
1011243520
11638a472
123922800
132438892
1416c96c8
15ec1630
hexab9000

11243520 has 156 divisors (see below), whose sum is σ = 39611676. Its totient is φ = 2949120.

The previous prime is 11243509. The next prime is 11243563. The reversal of 11243520 is 2534211.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 9437184 = 1344^2 + 3072^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11243493 and 11243502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184290 + ... + 184350.

It is an arithmetic number, because the mean of its divisors is an integer number (253921).

Almost surely, 211243520 is an apocalyptic number.

11243520 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 11243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19805838).

11243520 is an abundant number, since it is smaller than the sum of its proper divisors (28368156).

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

11243520 is an equidigital number, since it uses as much as digits as its factorization.

11243520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

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

The square root of 11243520 is about 3353.1358457420. The cubic root of 11243520 is about 224.0272075795.

Adding to 11243520 its reverse (2534211), we get a palindrome (13777731).

The spelling of 11243520 in words is "eleven million, two hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 64 72 80 90 96 120 122 128 144 160 180 183 192 240 244 256 288 305 320 360 366 384 480 488 512 549 576 610 640 720 732 768 915 960 976 1024 1098 1152 1220 1280 1440 1464 1536 1830 1920 1952 2048 2196 2304 2440 2560 2745 2880 2928 3072 3660 3840 3904 4096 4392 4608 4880 5120 5490 5760 5856 6144 7320 7680 7808 8784 9216 9760 10240 10980 11520 11712 12288 14640 15360 15616 17568 18432 19520 20480 21960 23040 23424 29280 30720 31232 35136 36864 39040 43920 46080 46848 58560 61440 62464 70272 78080 87840 92160 93696 117120 124928 140544 156160 175680 184320 187392 234240 249856 281088 312320 351360 374784 468480 562176 624640 702720 749568 936960 1124352 1249280 1405440 1873920 2248704 2810880 3747840 5621760 11243520