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12004144 = 242941631
BaseRepresentation
bin101101110010…
…101100110000
3211120212120221
4231302230300
511033113034
61105142424
7204014335
oct55625460
924525527
1012004144
116859989
12402aa14
132643b59
14184698c
1510c1bb4
hexb72b30

12004144 has 40 divisors (see below), whose sum is σ = 24685920. Its totient is φ = 5644800.

The previous prime is 12004117. The next prime is 12004163. The reversal of 12004144 is 44140021.

12004144 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 (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18709 + ... + 19339.

It is an arithmetic number, because the mean of its divisors is an integer number (617148).

Almost surely, 212004144 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 12004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12342960).

12004144 is an abundant number, since it is smaller than the sum of its proper divisors (12681776).

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

12004144 is a wasteful number, since it uses less digits than its factorization.

12004144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 12004144 is about 3464.6996983866. The cubic root of 12004144 is about 228.9691993433.

Adding to 12004144 its reverse (44140021), we get a palindrome (56144165).

The spelling of 12004144 in words is "twelve million, four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 41 58 82 116 164 232 328 464 631 656 1189 1262 2378 2524 4756 5048 9512 10096 18299 19024 25871 36598 51742 73196 103484 146392 206968 292784 413936 750259 1500518 3001036 6002072 12004144