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12033072 = 243283563
BaseRepresentation
bin101101111001…
…110000110000
3211122100021100
4231321300300
511040024242
61105524400
7204164562
oct55716060
924570240
1012033072
116879697
124043700
13265407c
141853332
1510ca54c
hexb79c30

12033072 has 30 divisors (see below), whose sum is σ = 33676292. Its totient is φ = 4010976.

The previous prime is 12033041. The next prime is 12033107. The reversal of 12033072 is 27033021.

12033072 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41638 + ... + 41925.

Almost surely, 212033072 is an apocalyptic number.

12033072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12033072 is an abundant number, since it is smaller than the sum of its proper divisors (21643220).

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

12033072 is a wasteful number, since it uses less digits than its factorization.

12033072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83577 (or 83568 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 12033072 is about 3468.8718627242. The cubic root of 12033072 is about 229.1529777535.

Adding to 12033072 its reverse (27033021), we get a palindrome (39066093).

The spelling of 12033072 in words is "twelve million, thirty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 83563 167126 250689 334252 501378 668504 752067 1002756 1337008 1504134 2005512 3008268 4011024 6016536 12033072