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12005340 = 22351910531
BaseRepresentation
bin101101110010…
…111111011100
3211120221020020
4231302333130
511033132330
61105152140
7204020664
oct55627734
924527206
1012005340
11685a876
12402b650
132644569
1418471a4
1510c2210
hexb72fdc

12005340 has 48 divisors (see below), whose sum is σ = 35387520. Its totient is φ = 3032640.

The previous prime is 12005327. The next prime is 12005341. The reversal of 12005340 is 4350021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4126 + ... + 6405.

It is an arithmetic number, because the mean of its divisors is an integer number (737240).

Almost surely, 212005340 is an apocalyptic number.

12005340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12005340 is an abundant number, since it is smaller than the sum of its proper divisors (23382180).

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

12005340 is a wasteful number, since it uses less digits than its factorization.

12005340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10562 (or 10560 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 12005340 is about 3464.8722920189. The cubic root of 12005340 is about 228.9768033304.

Adding to 12005340 its reverse (4350021), we get a palindrome (16355361).

The spelling of 12005340 in words is "twelve million, five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 10531 21062 31593 42124 52655 63186 105310 126372 157965 200089 210620 315930 400178 600267 631860 800356 1000445 1200534 2000890 2401068 3001335 4001780 6002670 12005340