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12144024 = 23321511117
BaseRepresentation
bin101110010100…
…110110011000
3211211222110200
4232110312120
511102102044
61112142200
7205136214
oct56246630
924758420
1012144024
116944a92
124097960
132692719
141881944
1510ed369
hexb94d98

12144024 has 48 divisors (see below), whose sum is σ = 33137520. Its totient is φ = 4017600.

The previous prime is 12144019. The next prime is 12144031. The reversal of 12144024 is 42044121.

12144024 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 junction number, because it is equal to n+sod(n) for n = 12143988 and 12144006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10314 + ... + 11430.

It is an arithmetic number, because the mean of its divisors is an integer number (690365).

Almost surely, 212144024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12144024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16568760).

12144024 is an abundant number, since it is smaller than the sum of its proper divisors (20993496).

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

12144024 is a wasteful number, since it uses less digits than its factorization.

12144024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 12144024 is about 3484.8276858404. The cubic root of 12144024 is about 229.8551324656.

Adding to 12144024 its reverse (42044121), we get a palindrome (54188145).

The spelling of 12144024 in words is "twelve million, one hundred forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 906 1117 1208 1359 1812 2234 2718 3351 3624 4468 5436 6702 8936 10053 10872 13404 20106 26808 40212 80424 168667 337334 506001 674668 1012002 1349336 1518003 2024004 3036006 4048008 6072012 12144024