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12001842 = 232666769
BaseRepresentation
bin101101110010…
…001000110010
3211120202102200
4231302020302
511033024332
61105124030
7204004536
oct55621062
924522380
1012001842
116858186
124029616
132642aa8
141845bc6
1510c117c
hexb72232

12001842 has 12 divisors (see below), whose sum is σ = 26004030. Its totient is φ = 4000608.

The previous prime is 12001841. The next prime is 12001861. The reversal of 12001842 is 24810021.

It can be written as a sum of positive squares in only one way, i.e., 11229201 + 772641 = 3351^2 + 879^2 .

It is a super-2 number, since 2×120018422 = 288088422785928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 666769 = 12001842 / (1 + 2 + 0 + 0 + 1 + 8 + 4 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 333367 + ... + 333402.

Almost surely, 212001842 is an apocalyptic number.

12001842 is an abundant number, since it is smaller than the sum of its proper divisors (14002188).

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

12001842 is a wasteful number, since it uses less digits than its factorization.

12001842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666777 (or 666774 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12001842 is about 3464.3674747347. The cubic root of 12001842 is about 228.9545621538.

Adding to 12001842 its reverse (24810021), we get a palindrome (36811863).

The spelling of 12001842 in words is "twelve million, one thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 666769 1333538 2000307 4000614 6000921 12001842