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12000032 = 251173467
BaseRepresentation
bin101101110001…
…101100100000
3211120122221122
4231301230200
511033000112
61105111412
7203666342
oct55615440
924518848
1012000032
116856890
124028568
132642015
141845292
1510c0872
hexb71b20

12000032 has 48 divisors (see below), whose sum is σ = 26181792. Its totient is φ = 5368320.

The previous prime is 12000029. The next prime is 12000073. The reversal of 12000032 is 23000021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 11999983 and 12000019.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25463 + ... + 25929.

It is an arithmetic number, because the mean of its divisors is an integer number (545454).

Almost surely, 212000032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13090896).

12000032 is an abundant number, since it is smaller than the sum of its proper divisors (14181760).

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

12000032 is a wasteful number, since it uses less digits than its factorization.

12000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 12000032 is about 3464.1062339368. The cubic root of 12000032 is about 228.9430520152.

Adding to 12000032 its reverse (23000021), we get a palindrome (35000053).

The spelling of 12000032 in words is "twelve million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 4 8 11 16 22 32 44 73 88 146 176 292 352 467 584 803 934 1168 1606 1868 2336 3212 3736 5137 6424 7472 10274 12848 14944 20548 25696 34091 41096 68182 82192 136364 164384 272728 375001 545456 750002 1090912 1500004 3000008 6000016 12000032