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12016260 = 22325241277
BaseRepresentation
bin101101110101…
…101010000100
3211121111012200
4231311222010
511034010020
61105314500
7204064554
oct55655204
924544180
1012016260
116867aa3
124035a30
132649519
14184b164
1510c5590
hexb75a84

12016260 has 72 divisors (see below), whose sum is σ = 36732696. Its totient is φ = 3179520.

The previous prime is 12016259. The next prime is 12016261. The reversal of 12016260 is 6261021.

It is a happy number.

12016260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12016259) and next prime (12016261).

It can be written as a sum of positive squares in 4 ways, for example, as 887364 + 11128896 = 942^2 + 3336^2 .

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

12016260 is a modest number, since divided by 16260 gives 120 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12016261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43242 + ... + 43518.

Almost surely, 212016260 is an apocalyptic number.

12016260 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 12016260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18366348).

12016260 is an abundant number, since it is smaller than the sum of its proper divisors (24716436).

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

12016260 is a wasteful number, since it uses less digits than its factorization.

12016260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 528 counting only the distinct ones).

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

The square root of 12016260 is about 3466.4477494980. The cubic root of 12016260 is about 229.0462076941.

Adding to 12016260 its reverse (6261021), we get a palindrome (18277281).

The spelling of 12016260 in words is "twelve million, sixteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 241 277 482 554 723 831 964 1108 1205 1385 1446 1662 2169 2410 2493 2770 2892 3324 3615 4155 4338 4820 4986 5540 7230 8310 8676 9972 10845 12465 14460 16620 21690 24930 43380 49860 66757 133514 200271 267028 333785 400542 600813 667570 801084 1001355 1201626 1335140 2002710 2403252 3004065 4005420 6008130 12016260