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12041190 = 2335723277
BaseRepresentation
bin101101111011…
…101111100110
3211122202102000
4231323233212
511040304230
61110030130
7204230340
oct55735746
924582360
1012041190
1168847a7
124048346
132657985
141856290
1510ccb60
hexb7bbe6

12041190 has 128 divisors (see below), whose sum is σ = 38430720. Its totient is φ = 2623104.

The previous prime is 12041189. The next prime is 12041191. The reversal of 12041190 is 9114021.

It is an interprime number because it is at equal distance from previous prime (12041189) and next prime (12041191).

It is a super-2 number, since 2×120411902 = 289980513232200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12041191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43332 + ... + 43608.

It is an arithmetic number, because the mean of its divisors is an integer number (300240).

Almost surely, 212041190 is an apocalyptic number.

12041190 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 12041190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19215360).

12041190 is an abundant number, since it is smaller than the sum of its proper divisors (26389530).

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

12041190 is a wasteful number, since it uses less digits than its factorization.

12041190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 12041190 is about 3470.0417864919. The cubic root of 12041190 is about 229.2044981437.

The spelling of 12041190 in words is "twelve million, forty-one thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 27 30 35 42 45 46 54 63 69 70 90 105 115 126 135 138 161 189 207 210 230 270 277 315 322 345 378 414 483 554 621 630 690 805 831 945 966 1035 1242 1385 1449 1610 1662 1890 1939 2070 2415 2493 2770 2898 3105 3878 4155 4347 4830 4986 5817 6210 6371 7245 7479 8310 8694 9695 11634 12465 12742 14490 14958 17451 19113 19390 21735 24930 29085 31855 34902 37395 38226 43470 44597 52353 57339 58170 63710 74790 87255 89194 95565 104706 114678 133791 172017 174510 191130 222985 261765 267582 286695 344034 401373 445970 523530 573390 668955 802746 860085 1204119 1337910 1720170 2006865 2408238 4013730 6020595 12041190