Search a number
-
+
12004140 = 2235593391
BaseRepresentation
bin101101110010…
…101100101100
3211120212120210
4231302230230
511033113030
61105142420
7204014331
oct55625454
924525523
1012004140
116859985
12402aa10
132643b55
141846988
1510c1bb0
hexb72b2c

12004140 has 48 divisors (see below), whose sum is σ = 34191360. Its totient is φ = 3145920.

The previous prime is 12004117. The next prime is 12004163. The reversal of 12004140 is 4140021.

It is an interprime number because it is at equal distance from previous prime (12004117) and next prime (12004163).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1845 + ... + 5235.

It is an arithmetic number, because the mean of its divisors is an integer number (712320).

Almost surely, 212004140 is an apocalyptic number.

12004140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12004140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17095680).

12004140 is an abundant number, since it is smaller than the sum of its proper divisors (22187220).

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

12004140 is a wasteful number, since it uses less digits than its factorization.

12004140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12004140 is about 3464.6991211359. The cubic root of 12004140 is about 228.9691739111.

Adding to 12004140 its reverse (4140021), we get a palindrome (16144161).

The spelling of 12004140 in words is "twelve million, four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3391 3540 6782 10173 13564 16955 20346 33910 40692 50865 67820 101730 200069 203460 400138 600207 800276 1000345 1200414 2000690 2400828 3001035 4001380 6002070 12004140