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12322260 = 22335191201
BaseRepresentation
bin101111000000…
…010111010100
3212012000222000
4233000113110
511123303020
61120035300
7206510646
oct57002724
925160860
1012322260
116a56995
124162b30
1327258a2
1418ca896
151136090
hexbc05d4

12322260 has 96 divisors (see below), whose sum is σ = 40387200. Its totient is φ = 3110400.

The previous prime is 12322243. The next prime is 12322301. The reversal of 12322260 is 6222321.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9660 + ... + 10860.

It is an arithmetic number, because the mean of its divisors is an integer number (420700).

Almost surely, 212322260 is an apocalyptic number.

12322260 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 12322260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20193600).

12322260 is an abundant number, since it is smaller than the sum of its proper divisors (28064940).

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

12322260 is a wasteful number, since it uses less digits than its factorization.

12322260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12322260 is about 3510.3076788225. The cubic root of 12322260 is about 230.9741917532.

Adding to 12322260 its reverse (6222321), we get a palindrome (18544581).

The spelling of 12322260 in words is "twelve million, three hundred twenty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1201 1710 2052 2402 2565 3420 3603 4804 5130 6005 7206 10260 10809 12010 14412 18015 21618 22819 24020 32427 36030 43236 45638 54045 64854 68457 72060 91276 108090 114095 129708 136914 162135 205371 216180 228190 273828 324270 342285 410742 456380 616113 648540 684570 821484 1026855 1232226 1369140 2053710 2464452 3080565 4107420 6161130 12322260