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12144249 = 341319607
BaseRepresentation
bin101110010100…
…111001111001
3211211222210000
4232110321321
511102103444
61112143213
7205136655
oct56247171
924758700
1012144249
116945177
124097b09
132692860
141881a65
1510ed469
hexb94e79

12144249 has 40 divisors (see below), whose sum is σ = 20599040. Its totient is φ = 7068384.

The previous prime is 12144247. The next prime is 12144257. The reversal of 12144249 is 94244121.

It is a happy number.

It is not a de Polignac number, because 12144249 - 21 = 12144247 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19704 + ... + 20310.

It is an arithmetic number, because the mean of its divisors is an integer number (514976).

Almost surely, 212144249 is an apocalyptic number.

12144249 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

12144249 is a deficient number, since it is larger than the sum of its proper divisors (8454791).

12144249 is a wasteful number, since it uses less digits than its factorization.

12144249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 642 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12144249 is about 3484.8599684923. The cubic root of 12144249 is about 229.8565520138.

The spelling of 12144249 in words is "twelve million, one hundred forty-four thousand, two hundred forty-nine".

Divisors: 1 3 9 13 19 27 39 57 81 117 171 247 351 513 607 741 1053 1539 1821 2223 5463 6669 7891 11533 16389 20007 23673 34599 49167 71019 103797 149929 213057 311391 449787 639171 934173 1349361 4048083 12144249