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12822340 = 2251941823
BaseRepresentation
bin110000111010…
…011101000100
3220010102221111
4300322131010
511240303330
61134454404
7213662626
oct60723504
926112844
1012822340
117268683
124364404
13286c3ab
1419bac16
1511d432a
hexc3a744

12822340 has 48 divisors (see below), whose sum is σ = 29070720. Its totient is φ = 4734720.

The previous prime is 12822323. The next prime is 12822349. The reversal of 12822340 is 4322821.

It is not an unprimeable number, because it can be changed into a prime (12822349) 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, 15169 + ... + 15991.

It is an arithmetic number, because the mean of its divisors is an integer number (605640).

Almost surely, 212822340 is an apocalyptic number.

12822340 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 12822340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14535360).

12822340 is an abundant number, since it is smaller than the sum of its proper divisors (16248380).

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

12822340 is a wasteful number, since it uses less digits than its factorization.

12822340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 12822340 is about 3580.8295128364. The cubic root of 12822340 is about 234.0574286202.

The spelling of 12822340 in words is "twelve million, eight hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 380 410 779 820 823 1558 1646 3116 3292 3895 4115 7790 8230 15580 15637 16460 31274 33743 62548 67486 78185 134972 156370 168715 312740 337430 641117 674860 1282234 2564468 3205585 6411170 12822340