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12066360 = 2335193521
BaseRepresentation
bin101110000001…
…111000111000
3211201000221020
4232001320320
511042110420
61110342440
7204363615
oct56017070
924630836
1012066360
1168a16a9
12405aa20
132666277
14186150c
1510d5340
hexb81e38

12066360 has 64 divisors (see below), whose sum is σ = 36456480. Its totient is φ = 3194880.

The previous prime is 12066343. The next prime is 12066361. The reversal of 12066360 is 6366021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12066360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12066361) 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 15 ways as a sum of consecutive naturals, for example, 22900 + ... + 23420.

Almost surely, 212066360 is an apocalyptic number.

12066360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12066360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18228240).

12066360 is an abundant number, since it is smaller than the sum of its proper divisors (24390120).

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

12066360 is a wasteful number, since it uses less digits than its factorization.

12066360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 12066360 is about 3473.6666506733. Note that the first 4 decimals coincide. The cubic root of 12066360 is about 229.3640909561.

The spelling of 12066360 in words is "twelve million, sixty-six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 193 386 521 579 772 965 1042 1158 1544 1563 1930 2084 2316 2605 2895 3126 3860 4168 4632 5210 5790 6252 7720 7815 10420 11580 12504 15630 20840 23160 31260 62520 100553 201106 301659 402212 502765 603318 804424 1005530 1206636 1508295 2011060 2413272 3016590 4022120 6033180 12066360