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821490012 = 223472811289
BaseRepresentation
bin110000111101101…
…111000101011100
32010020210000110000
4300331233011130
53140300140022
6213303214300
726233356420
oct6075570534
92106700400
10821490012
11391789672
121ab147390
13101268585
147b160b80
154c1be6ac
hex30f6f15c

821490012 has 120 divisors (see below), whose sum is σ = 2464973280. Its totient is φ = 233694720.

The previous prime is 821489971. The next prime is 821490013. The reversal of 821490012 is 210094128.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821490013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 636664 + ... + 637952.

It is an arithmetic number, because the mean of its divisors is an integer number (20541444).

Almost surely, 2821490012 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 821490012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232486640).

821490012 is an abundant number, since it is smaller than the sum of its proper divisors (1643483268).

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

821490012 is a wasteful number, since it uses less digits than its factorization.

821490012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 821490012 is about 28661.6470566505. The cubic root of 821490012 is about 936.5567447124.

The spelling of 821490012 in words is "eight hundred twenty-one million, four hundred ninety thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 281 324 378 562 567 756 843 1124 1134 1289 1686 1967 2268 2529 2578 3372 3867 3934 5058 5156 5901 7587 7734 7868 9023 10116 11601 11802 15174 15468 17703 18046 22761 23202 23604 27069 30348 34803 35406 36092 45522 46404 53109 54138 69606 70812 81207 91044 104409 106218 108276 139212 159327 162414 208818 212436 243621 318654 324828 362209 417636 487242 637308 724418 730863 974484 1086627 1448836 1461726 2173254 2535463 2923452 3259881 4346508 5070926 6519762 7606389 9779643 10141852 13039524 15212778 19559286 22819167 29338929 30425556 39118572 45638334 58677858 68457501 91276668 117355716 136915002 205372503 273830004 410745006 821490012