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12141738 = 23574383
BaseRepresentation
bin101110010100…
…010010101010
3211211212100000
4232110102222
511102013423
61112123430
7205126440
oct56242252
924755300
1012141738
1169432a4
124096576
13269167b
141880b90
1510ec843
hexb944aa

12141738 has 96 divisors (see below), whose sum is σ = 32288256. Its totient is φ = 3347568.

The previous prime is 12141733. The next prime is 12141761. The reversal of 12141738 is 83714121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12141733) 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 47 ways as a sum of consecutive naturals, for example, 146245 + ... + 146327.

It is an arithmetic number, because the mean of its divisors is an integer number (336336).

Almost surely, 212141738 is an apocalyptic number.

12141738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12141738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16144128).

12141738 is an abundant number, since it is smaller than the sum of its proper divisors (20146518).

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

12141738 is an equidigital number, since it uses as much as digits as its factorization.

12141738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 12141738 is about 3484.4996771416. The cubic root of 12141738 is about 229.8407088608.

Adding to 12141738 its reverse (83714121), we get a palindrome (95855859).

The spelling of 12141738 in words is "twelve million, one hundred forty-one thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 81 83 86 126 129 162 166 189 243 249 258 301 378 387 486 498 567 581 602 747 774 903 1134 1161 1162 1494 1701 1743 1806 2241 2322 2709 3402 3483 3486 3569 4482 5229 5418 6723 6966 7138 8127 10449 10458 10707 13446 15687 16254 20169 20898 21414 24381 24983 31374 32121 40338 47061 48762 49966 64242 73143 74949 94122 96363 141183 146286 149898 192726 224847 282366 289089 449694 578178 674541 867267 1349082 1734534 2023623 4047246 6070869 12141738