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12528180 = 22325761163
BaseRepresentation
bin101111110010…
…101000110100
3212120111102200
4233302220310
511201400210
61124304500
7211326210
oct57625064
925514380
1012528180
117087675
124242130
132798532
141941940
1511770c0
hexbf2a34

12528180 has 144 divisors (see below), whose sum is σ = 44413824. Its totient is φ = 2799360.

The previous prime is 12528161. The next prime is 12528181. The reversal of 12528180 is 8182521.

It is a super-2 number, since 2×125281802 = 313910588224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12528181) 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 47 ways as a sum of consecutive naturals, for example, 76779 + ... + 76941.

Almost surely, 212528180 is an apocalyptic number.

12528180 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 12528180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22206912).

12528180 is an abundant number, since it is smaller than the sum of its proper divisors (31885644).

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

12528180 is a wasteful number, since it uses less digits than its factorization.

12528180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 12528180 is about 3539.5169161907. The cubic root of 12528180 is about 232.2537107532.

The spelling of 12528180 in words is "twelve million, five hundred twenty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 61 63 70 84 90 105 122 126 140 163 180 183 210 244 252 305 315 326 366 420 427 489 549 610 630 652 732 815 854 915 978 1098 1141 1220 1260 1281 1467 1630 1708 1830 1956 2135 2196 2282 2445 2562 2745 2934 3260 3423 3660 3843 4270 4564 4890 5124 5490 5705 5868 6405 6846 7335 7686 8540 9780 9943 10269 10980 11410 12810 13692 14670 15372 17115 19215 19886 20538 22820 25620 29340 29829 34230 38430 39772 41076 49715 51345 59658 68460 69601 76860 89487 99430 102690 119316 139202 149145 178974 198860 205380 208803 278404 298290 348005 357948 417606 447435 596580 626409 696010 835212 894870 1044015 1252818 1392020 1789740 2088030 2505636 3132045 4176060 6264090 12528180