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12281140 = 2251741881
BaseRepresentation
bin101110110110…
…010100110100
3212002221120001
4232312110310
511120444030
61115121044
7206250034
oct56662464
925087501
1012281140
116a29003
124143184
13270cc61
1418b98c4
151128cca
hexbb6534

12281140 has 48 divisors (see below), whose sum is σ = 28005264. Its totient is φ = 4505600.

The previous prime is 12281131. The next prime is 12281141. The reversal of 12281140 is 4118221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1705636 + 10575504 = 1306^2 + 3252^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12281141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13500 + ... + 14380.

It is an arithmetic number, because the mean of its divisors is an integer number (583443).

Almost surely, 212281140 is an apocalyptic number.

12281140 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 12281140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14002632).

12281140 is an abundant number, since it is smaller than the sum of its proper divisors (15724124).

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

12281140 is a wasteful number, since it uses less digits than its factorization.

12281140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 12281140 is about 3504.4457479037. The cubic root of 12281140 is about 230.7169812763.

Adding to 12281140 its reverse (4118221), we get a palindrome (16399361).

It can be divided in two parts, 12281 and 140, that added together give a palindrome (12421).

The spelling of 12281140 in words is "twelve million, two hundred eighty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 881 1394 1762 2788 3485 3524 4405 6970 8810 13940 14977 17620 29954 36121 59908 72242 74885 144484 149770 180605 299540 361210 614057 722420 1228114 2456228 3070285 6140570 12281140