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12758130 = 23257211263
BaseRepresentation
bin110000101010…
…110001110010
3220000011212100
4300222301302
511231230010
61133241230
7213304500
oct60526162
926004770
1012758130
117224410
124333216
1328490b8
1419a1670
1511c02c0
hexc2ac72

12758130 has 144 divisors (see below), whose sum is σ = 42254784. Its totient is φ = 2640960.

The previous prime is 12758111. The next prime is 12758167. The reversal of 12758130 is 3185721.

It is a junction number, because it is equal to n+sod(n) for n = 12758094 and 12758103.

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 71 ways as a sum of consecutive naturals, for example, 48379 + ... + 48641.

It is an arithmetic number, because the mean of its divisors is an integer number (293436).

Almost surely, 212758130 is an apocalyptic number.

12758130 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 12758130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21127392).

12758130 is an abundant number, since it is smaller than the sum of its proper divisors (29496654).

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

12758130 is a wasteful number, since it uses less digits than its factorization.

12758130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 12758130 is about 3571.8524605588. The cubic root of 12758130 is about 233.6660808119. Note that the first 3 decimals are identical.

The spelling of 12758130 in words is "twelve million, seven hundred fifty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 49 55 63 66 70 77 90 98 99 105 110 126 147 154 165 198 210 231 245 263 294 315 330 385 441 462 490 495 526 539 630 693 735 770 789 882 990 1078 1155 1315 1386 1470 1578 1617 1841 2205 2310 2367 2630 2695 2893 3234 3465 3682 3945 4410 4734 4851 5390 5523 5786 6930 7890 8085 8679 9205 9702 11046 11835 12887 14465 16170 16569 17358 18410 20251 23670 24255 25774 26037 27615 28930 33138 38661 40502 43395 48510 52074 55230 60753 64435 77322 82845 86790 101255 115983 121506 128870 130185 141757 165690 182259 193305 202510 231966 260370 283514 303765 364518 386610 425271 579915 607530 708785 850542 911295 1159830 1275813 1417570 1822590 2126355 2551626 4252710 6379065 12758130