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12534900 = 22352747127
BaseRepresentation
bin101111110100…
…010001110100
3212120211122120
4233310101310
511202104100
61124355540
7211354620
oct57642164
925524576
1012534900
117091724
124245bb0
13279b601
141944180
1511790a0
hexbf4474

12534900 has 144 divisors (see below), whose sum is σ = 42663936. Its totient is φ = 2782080.

The previous prime is 12534883. The next prime is 12534901. The reversal of 12534900 is 943521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12534901) 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, 98637 + ... + 98763.

Almost surely, 212534900 is an apocalyptic number.

12534900 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 12534900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21331968).

12534900 is an abundant number, since it is smaller than the sum of its proper divisors (30129036).

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

12534900 is a wasteful number, since it uses less digits than its factorization.

12534900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 12534900 is about 3540.4660710138. The cubic root of 12534900 is about 232.2952295789.

The spelling of 12534900 in words is "twelve million, five hundred thirty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 47 50 60 70 75 84 94 100 105 127 140 141 150 175 188 210 235 254 282 300 329 350 381 420 470 508 525 564 635 658 700 705 762 889 940 987 1050 1175 1270 1316 1410 1524 1645 1778 1905 1974 2100 2350 2540 2667 2820 3175 3290 3525 3556 3810 3948 4445 4700 4935 5334 5969 6350 6580 7050 7620 8225 8890 9525 9870 10668 11938 12700 13335 14100 16450 17780 17907 19050 19740 22225 23876 24675 26670 29845 32900 35814 38100 41783 44450 49350 53340 59690 66675 71628 83566 88900 89535 98700 119380 125349 133350 149225 167132 179070 208915 250698 266700 298450 358140 417830 447675 501396 596900 626745 835660 895350 1044575 1253490 1790700 2089150 2506980 3133725 4178300 6267450 12534900