Search a number
-
+
12000040 = 2351347491
BaseRepresentation
bin101101110001…
…101100101000
3211120122221221
4231301230220
511033000130
61105111424
7203666353
oct55615450
924518857
1012000040
116856898
124028574
132642020
14184529a
1510c087a
hexb71b28

12000040 has 64 divisors (see below), whose sum is σ = 29756160. Its totient is φ = 4327680.

The previous prime is 12000029. The next prime is 12000073. The reversal of 12000040 is 4000021.

12000040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11999987 and 12000032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24195 + ... + 24685.

It is an arithmetic number, because the mean of its divisors is an integer number (464940).

Almost surely, 212000040 is an apocalyptic number.

12000040 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 12000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14878080).

12000040 is an abundant number, since it is smaller than the sum of its proper divisors (17756120).

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

12000040 is a wasteful number, since it uses less digits than its factorization.

12000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 12000040 is about 3464.1073886356. The cubic root of 12000040 is about 228.9431028913.

Adding to 12000040 its reverse (4000021), we get a palindrome (16000061).

The spelling of 12000040 in words is "twelve million, forty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 130 188 235 260 376 470 491 520 611 940 982 1222 1880 1964 2444 2455 3055 3928 4888 4910 6110 6383 9820 12220 12766 19640 23077 24440 25532 31915 46154 51064 63830 92308 115385 127660 184616 230770 255320 300001 461540 600002 923080 1200004 1500005 2400008 3000010 6000020 12000040