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12280340 = 2252931683
BaseRepresentation
bin101110110110…
…001000010100
3212002220110102
4232312020110
511120432330
61115113232
7206244512
oct56661024
925086412
1012280340
116a28446
124142818
13270c797
1418b94b2
151128945
hexbb6214

12280340 has 48 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 4583040.

The previous prime is 12280271. The next prime is 12280343. The reversal of 12280340 is 4308221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12280343) 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, 17639 + ... + 18321.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 212280340 is an apocalyptic number.

12280340 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 12280340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

12280340 is an abundant number, since it is smaller than the sum of its proper divisors (15298540).

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

12280340 is a wasteful number, since it uses less digits than its factorization.

12280340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 12280340 is about 3504.3316053136. The cubic root of 12280340 is about 230.7119714918.

Adding to 12280340 its reverse (4308221), we get a palindrome (16588561).

The spelling of 12280340 in words is "twelve million, two hundred eighty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 290 310 580 620 683 899 1366 1798 2732 3415 3596 4495 6830 8990 13660 17980 19807 21173 39614 42346 79228 84692 99035 105865 198070 211730 396140 423460 614017 1228034 2456068 3070085 6140170 12280340