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12884130 = 2335717401
BaseRepresentation
bin110001001001…
…100010100010
3220020120201000
4301021202202
511244243010
61140052430
7214341030
oct61114242
926216630
1012884130
117300046
124394116
13289155c
1419d5550
1511e77c0
hexc498a2

12884130 has 128 divisors (see below), whose sum is σ = 41679360. Its totient is φ = 2764800.

The previous prime is 12884129. The next prime is 12884159. The reversal of 12884130 is 3148821.

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

It is a junction number, because it is equal to n+sod(n) for n = 12884094 and 12884103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31930 + ... + 32330.

It is an arithmetic number, because the mean of its divisors is an integer number (325620).

Almost surely, 212884130 is an apocalyptic number.

12884130 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 12884130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20839680).

12884130 is an abundant number, since it is smaller than the sum of its proper divisors (28795230).

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

12884130 is a wasteful number, since it uses less digits than its factorization.

12884130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 12884130 is about 3589.4470326222. The cubic root of 12884130 is about 234.4327953469.

The spelling of 12884130 in words is "twelve million, eight hundred eighty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 85 90 102 105 119 126 135 153 170 189 210 238 255 270 306 315 357 378 401 459 510 595 630 714 765 802 918 945 1071 1190 1203 1530 1785 1890 2005 2142 2295 2406 2807 3213 3570 3609 4010 4590 5355 5614 6015 6426 6817 7218 8421 10710 10827 12030 13634 14035 16065 16842 18045 20451 21654 25263 28070 32130 34085 36090 40902 42105 47719 50526 54135 61353 68170 75789 84210 95438 102255 108270 122706 126315 143157 151578 184059 204510 238595 252630 286314 306765 368118 378945 429471 477190 613530 715785 757890 858942 920295 1288413 1431570 1840590 2147355 2576826 4294710 6442065 12884130