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12821490 = 2345111439
BaseRepresentation
bin110000111010…
…001111110010
3220010101210000
4300322033302
511240241430
61134450430
7213660303
oct60721762
926111700
1012821490
117267a80
124363a16
13286bba6
1419ba7aa
1511d3e60
hexc3a3f2

12821490 has 80 divisors (see below), whose sum is σ = 37635840. Its totient is φ = 3106080.

The previous prime is 12821477. The next prime is 12821491. The reversal of 12821490 is 9412821.

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

It is not an unprimeable number, because it can be changed into a prime (12821491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8191 + ... + 9629.

It is an arithmetic number, because the mean of its divisors is an integer number (470448).

Almost surely, 212821490 is an apocalyptic number.

12821490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12821490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18817920).

12821490 is an abundant number, since it is smaller than the sum of its proper divisors (24814350).

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

12821490 is a wasteful number, since it uses less digits than its factorization.

12821490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1460 counting only the distinct ones).

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

The square root of 12821490 is about 3580.7108232863. The cubic root of 12821490 is about 234.0522565738.

It can be divided in two parts, 1282 and 1490, that added together give a palindrome (2772).

The spelling of 12821490 in words is "twelve million, eight hundred twenty-one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1439 1485 1782 2878 2970 4317 4455 7195 8634 8910 12951 14390 15829 21585 25902 31658 38853 43170 47487 64755 77706 79145 94974 116559 129510 142461 158290 194265 233118 237435 284922 388530 427383 474870 582795 712305 854766 1165590 1282149 1424610 2136915 2564298 4273830 6410745 12821490