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12330180 = 2232568501
BaseRepresentation
bin101111000010…
…010011000100
3212012102211100
4233002103010
511124031210
61120140100
7206543022
oct57022304
925172740
1012330180
116a61935
124167630
132729385
1418cd712
1511385c0
hexbc24c4

12330180 has 36 divisors (see below), whose sum is σ = 37402092. Its totient is φ = 3288000.

The previous prime is 12330179. The next prime is 12330203. The reversal of 12330180 is 8103321.

It can be written as a sum of positive squares in 2 ways, for example, as 1871424 + 10458756 = 1368^2 + 3234^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 34071 + ... + 34430.

It is an arithmetic number, because the mean of its divisors is an integer number (1038947).

Almost surely, 212330180 is an apocalyptic number.

12330180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330180 is an abundant number, since it is smaller than the sum of its proper divisors (25071912).

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

12330180 is a wasteful number, since it uses less digits than its factorization.

12330180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68516 (or 68511 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12330180 is about 3511.4356038521. The cubic root of 12330180 is about 231.0236665469.

It can be divided in two parts, 123 and 30180, that added together give a palindrome (30303).

The spelling of 12330180 in words is "twelve million, three hundred thirty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 68501 137002 205503 274004 342505 411006 616509 685010 822012 1027515 1233018 1370020 2055030 2466036 3082545 4110060 6165090 12330180