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12000042 = 233613643
BaseRepresentation
bin101101110001…
…101100101010
3211120122222000
4231301230222
511033000132
61105111430
7203666355
oct55615452
924518860
1012000042
11685689a
124028576
132642022
14184529c
1510c087c
hexb71b2a

12000042 has 32 divisors (see below), whose sum is σ = 27111360. Its totient is φ = 3933360.

The previous prime is 12000029. The next prime is 12000073. The reversal of 12000042 is 24000021.

It is a Harshad number since it is a multiple of its sum of digits (9).

12000042 is a modest number, since divided by 42 gives 12 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 11999988 and 12000033.

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, 1473 + ... + 5115.

It is an arithmetic number, because the mean of its divisors is an integer number (847230).

Almost surely, 212000042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13555680).

12000042 is an abundant number, since it is smaller than the sum of its proper divisors (15111318).

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

12000042 is a wasteful number, since it uses less digits than its factorization.

12000042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 12000042 is about 3464.1076773103. The cubic root of 12000042 is about 228.9431156103.

Adding to 12000042 its reverse (24000021), we get a palindrome (36000063).

The spelling of 12000042 in words is "twelve million, forty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 1098 1647 3294 3643 7286 10929 21858 32787 65574 98361 196722 222223 444446 666669 1333338 2000007 4000014 6000021 12000042