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12144006 = 234710709
BaseRepresentation
bin101110010100…
…110110000110
3211211222110000
4232110312012
511102102011
61112142130
7205136160
oct56246606
924758400
1012144006
116944a76
124097946
132692704
141881930
1510ed356
hexb94d86

12144006 has 40 divisors (see below), whose sum is σ = 31101840. Its totient is φ = 3469392.

The previous prime is 12143993. The next prime is 12144007. The reversal of 12144006 is 60044121.

12144006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12144006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4221 + ... + 6488.

It is an arithmetic number, because the mean of its divisors is an integer number (777546).

Almost surely, 212144006 is an apocalyptic number.

12144006 is an abundant number, since it is smaller than the sum of its proper divisors (18957834).

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

12144006 is a wasteful number, since it uses less digits than its factorization.

12144006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10730 (or 10721 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12144006 is about 3484.8251032154. The cubic root of 12144006 is about 229.8550189009.

Adding to 12144006 its reverse (60044121), we get a palindrome (72188127).

The spelling of 12144006 in words is "twelve million, one hundred forty-four thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 10709 21418 32127 64254 74963 96381 149926 192762 224889 289143 449778 578286 674667 867429 1349334 1734858 2024001 4048002 6072003 12144006