Search a number
-
+
12000384840 = 2335191523577
BaseRepresentation
bin10110010110100011…
…10101011101001000
31010222022211201020210
423023101311131020
5144034044303330
65302441521120
7603244405503
oct131321653510
933868751223
1012000384840
1150a89a4824
1223aaaa31a0
13119326aa42
1481babc13a
154a37e98b0
hex2cb475748

12000384840 has 64 divisors (see below), whose sum is σ = 36189711360. Its totient is φ = 3183342080.

The previous prime is 12000384829. The next prime is 12000384841. The reversal of 12000384840 is 4848300021.

12000384840 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 12000384798 and 12000384807.

It is not an unprimeable number, because it can be changed into a prime (12000384841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238869 + ... + 284708.

It is an arithmetic number, because the mean of its divisors is an integer number (565464240).

Almost surely, 212000384840 is an apocalyptic number.

12000384840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000384840 is an abundant number, since it is smaller than the sum of its proper divisors (24189326520).

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

12000384840 is a wasteful number, since it uses less digits than its factorization.

12000384840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523782 (or 523778 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 12000384840 its reverse (4848300021), we get a palindrome (16848684861).

The spelling of 12000384840 in words is "twelve billion, three hundred eighty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1910 2292 2865 3820 4584 5730 7640 11460 22920 523577 1047154 1570731 2094308 2617885 3141462 4188616 5235770 6282924 7853655 10471540 12565848 15707310 20943080 31414620 62829240 100003207 200006414 300009621 400012828 500016035 600019242 800025656 1000032070 1200038484 1500048105 2000064140 2400076968 3000096210 4000128280 6000192420 12000384840