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12021828 = 223713101109
BaseRepresentation
bin101101110111…
…000001000100
3211121202211220
4231313001010
511034144303
61105400340
7204120030
oct55670104
924552756
1012021828
1168711a5
1240390b0
13264bc10
14184d1c0
1510c7053
hexb77044

12021828 has 96 divisors (see below), whose sum is σ = 35185920. Its totient is φ = 3110400.

The previous prime is 12021817. The next prime is 12021857. The reversal of 12021828 is 82812021.

It is a junction number, because it is equal to n+sod(n) for n = 12021798 and 12021807.

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, 110238 + ... + 110346.

It is an arithmetic number, because the mean of its divisors is an integer number (366520).

Almost surely, 212021828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17592960).

12021828 is an abundant number, since it is smaller than the sum of its proper divisors (23164092).

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

12021828 is a wasteful number, since it uses less digits than its factorization.

12021828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12021828 is about 3467.2507841228. The cubic root of 12021828 is about 229.0815801075.

Adding to 12021828 its reverse (82812021), we get a palindrome (94833849).

The spelling of 12021828 in words is "twelve million, twenty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 101 109 156 182 202 218 273 303 327 364 404 436 546 606 654 707 763 1092 1212 1308 1313 1414 1417 1526 2121 2289 2626 2828 2834 3052 3939 4242 4251 4578 5252 5668 7878 8484 8502 9156 9191 9919 11009 15756 17004 18382 19838 22018 27573 29757 33027 36764 39676 44036 55146 59514 66054 77063 110292 119028 132108 143117 154126 231189 286234 308252 429351 462378 572468 858702 924756 1001819 1717404 2003638 3005457 4007276 6010914 12021828