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12004040 = 23517127139
BaseRepresentation
bin101101110010…
…101011001000
3211120212110002
4231302223020
511033112130
61105142132
7204014126
oct55625310
924525402
1012004040
1168598a4
12402a948
132643aa9
141846916
1510c1b45
hexb72ac8

12004040 has 64 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 4451328.

The previous prime is 12004033. The next prime is 12004043. The reversal of 12004040 is 4040021.

12004040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

12004040 is a modest number, since divided by 4040 gives 1200 as remainder.

It is not an unprimeable number, because it can be changed into a prime (12004043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86291 + ... + 86429.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 212004040 is an apocalyptic number.

12004040 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 12004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

12004040 is an abundant number, since it is smaller than the sum of its proper divisors (17026360).

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

12004040 is a wasteful number, since it uses less digits than its factorization.

12004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 12004040 is about 3464.6846898383. The cubic root of 12004040 is about 228.9685381032.

Adding to 12004040 its reverse (4040021), we get a palindrome (16044061).

The spelling of 12004040 in words is "twelve million, four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 127 136 139 170 254 278 340 508 556 635 680 695 1016 1112 1270 1390 2159 2363 2540 2780 4318 4726 5080 5560 8636 9452 10795 11815 17272 17653 18904 21590 23630 35306 43180 47260 70612 86360 88265 94520 141224 176530 300101 353060 600202 706120 1200404 1500505 2400808 3001010 6002020 12004040