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11238150 = 23527211139
BaseRepresentation
bin101010110111…
…101100000110
3210010221211210
4222313230012
510334110100
61040512250
7164344200
oct52675406
923127753
1011238150
116386430
12391b686
1324362c1
1416c7770
15ebec50
hexab7b06

11238150 has 144 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 2318400.

The previous prime is 11238133. The next prime is 11238163. The reversal of 11238150 is 5183211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 80781 + ... + 80919.

It is an arithmetic number, because the mean of its divisors is an integer number (247380).

Almost surely, 211238150 is an apocalyptic number.

11238150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11238150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

11238150 is an abundant number, since it is smaller than the sum of its proper divisors (24384570).

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

11238150 is a wasteful number, since it uses less digits than its factorization.

11238150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 11238150 is about 3352.3350071256. The cubic root of 11238150 is about 223.9915361385.

The spelling of 11238150 in words is "eleven million, two hundred thirty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 49 50 55 66 70 75 77 98 105 110 139 147 150 154 165 175 210 231 245 275 278 294 330 350 385 417 462 490 525 539 550 695 735 770 825 834 973 1050 1078 1155 1225 1390 1470 1529 1617 1650 1925 1946 2085 2310 2450 2695 2919 3058 3234 3475 3675 3850 4170 4587 4865 5390 5775 5838 6811 6950 7350 7645 8085 9174 9730 10425 10703 11550 13475 13622 14595 15290 16170 20433 20850 21406 22935 24325 26950 29190 32109 34055 38225 40425 40866 45870 48650 53515 64218 68110 72975 74921 76450 80850 102165 107030 114675 145950 149842 160545 170275 204330 224763 229350 267575 321090 340550 374605 449526 510825 535150 749210 802725 1021650 1123815 1605450 1873025 2247630 3746050 5619075 11238150