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12041064 = 2332723413
BaseRepresentation
bin101101111011…
…101101101000
3211122202020100
4231323231220
511040303224
61110025400
7204230100
oct55735550
924582210
1012041064
1168846a2
124048260
1326578b9
141856200
1510ccac9
hexb7bb68

12041064 has 72 divisors (see below), whose sum is σ = 37946610. Its totient is φ = 3439296.

The previous prime is 12041063. The next prime is 12041069. The reversal of 12041064 is 46014021.

It can be written as a sum of positive squares in only one way, i.e., 7452900 + 4588164 = 2730^2 + 2142^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12041063) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1822 + ... + 5234.

Almost surely, 212041064 is an apocalyptic number.

12041064 is a gapful number since it is divisible by the number (14) 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 12041064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18973305).

12041064 is an abundant number, since it is smaller than the sum of its proper divisors (25905546).

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

12041064 is a wasteful number, since it uses less digits than its factorization.

12041064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12041064 is about 3470.0236310435. The cubic root of 12041064 is about 229.2036986693.

Adding to 12041064 its reverse (46014021), we get a palindrome (58055085).

The spelling of 12041064 in words is "twelve million, forty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3413 3528 6826 10239 13652 20478 23891 27304 30717 40956 47782 61434 71673 81912 95564 122868 143346 167237 191128 215019 245736 286692 334474 430038 501711 573384 668948 860076 1003422 1337896 1505133 1720152 2006844 3010266 4013688 6020532 12041064