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12144258 = 23274281
BaseRepresentation
bin101110010100…
…111010000010
3211211222210100
4232110322002
511102104013
61112143230
7205140000
oct56247202
924758710
1012144258
116945185
124097b16
132692869
141881a70
1510ed473
hexb94e82

12144258 has 60 divisors (see below), whose sum is σ = 30805398. Its totient is φ = 3457440.

The previous prime is 12144257. The next prime is 12144263. The reversal of 12144258 is 85244121.

It can be written as a sum of positive squares in only one way, i.e., 9529569 + 2614689 = 3087^2 + 1617^2 .

It is not an unprimeable number, because it can be changed into a prime (12144257) 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 29 ways as a sum of consecutive naturals, for example, 43078 + ... + 43358.

Almost surely, 212144258 is an apocalyptic number.

12144258 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 12144258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15402699).

12144258 is an abundant number, since it is smaller than the sum of its proper divisors (18661140).

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

12144258 is an equidigital number, since it uses as much as digits as its factorization.

12144258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 293 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 12144258 is about 3484.8612597921. The cubic root of 12144258 is about 229.8566087954.

Adding to 12144258 its reverse (85244121), we get a palindrome (97388379).

The spelling of 12144258 in words is "twelve million, one hundred forty-four thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 281 294 343 441 562 686 843 882 1029 1686 1967 2058 2401 2529 3087 3934 4802 5058 5901 6174 7203 11802 13769 14406 17703 21609 27538 35406 41307 43218 82614 96383 123921 192766 247842 289149 578298 674681 867447 1349362 1734894 2024043 4048086 6072129 12144258