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12010040 = 235759727
BaseRepresentation
bin101101110100…
…001000111000
3211121011200022
4231310020320
511033310130
61105230012
7204040460
oct55641070
924534608
1012010040
116863359
124032308
132646743
141848ba0
1510c37e5
hexb74238

12010040 has 64 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 4042368.

The previous prime is 12010027. The next prime is 12010049. The reversal of 12010040 is 4001021.

12010040 = T291 + T292 + ... + T458.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010049) 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, 16157 + ... + 16883.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 212010040 is an apocalyptic number.

12010040 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 12010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

12010040 is an abundant number, since it is smaller than the sum of its proper divisors (19439560).

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

12010040 is a wasteful number, since it uses less digits than its factorization.

12010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 800 counting only the distinct ones).

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

The square root of 12010040 is about 3465.5504613265. The cubic root of 12010040 is about 229.0066803286.

Adding to 12010040 its reverse (4001021), we get a palindrome (16011061).

The spelling of 12010040 in words is "twelve million, ten thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 118 140 236 280 295 413 472 590 727 826 1180 1454 1652 2065 2360 2908 3304 3635 4130 5089 5816 7270 8260 10178 14540 16520 20356 25445 29080 40712 42893 50890 85786 101780 171572 203560 214465 300251 343144 428930 600502 857860 1201004 1501255 1715720 2402008 3002510 6005020 12010040