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12844980 = 22365881
BaseRepresentation
bin110000111111…
…111110110100
3220011121000000
4300333332310
511242014410
61135151300
7214115631
oct60777664
926147000
1012844980
117283695
124375530
1328797a5
1419c5188
1511dadc0
hexc3ffb4

12844980 has 84 divisors (see below), whose sum is σ = 40489092. Its totient is φ = 3421440.

The previous prime is 12844961. The next prime is 12844981. The reversal of 12844980 is 8944821.

It can be written as a sum of positive squares in 2 ways, for example, as 3370896 + 9474084 = 1836^2 + 3078^2 .

It is a super-2 number, since 2×128449802 = 329987022400800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12844981) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14140 + ... + 15020.

It is an arithmetic number, because the mean of its divisors is an integer number (482013).

Almost surely, 212844980 is an apocalyptic number.

12844980 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 12844980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20244546).

12844980 is an abundant number, since it is smaller than the sum of its proper divisors (27644112).

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

12844980 is an equidigital number, since it uses as much as digits as its factorization.

12844980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 12844980 is about 3583.9893973057. The cubic root of 12844980 is about 234.1951035543.

It can be divided in two parts, 12844 and 980, that added together give a cube (13824 = 243).

The spelling of 12844980 in words is "twelve million, eight hundred forty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 881 972 1215 1458 1620 1762 2430 2643 2916 3524 3645 4405 4860 5286 7290 7929 8810 10572 13215 14580 15858 17620 23787 26430 31716 39645 47574 52860 71361 79290 95148 118935 142722 158580 214083 237870 285444 356805 428166 475740 642249 713610 856332 1070415 1284498 1427220 2140830 2568996 3211245 4281660 6422490 12844980