Search a number
-
+
12545568 = 253273127
BaseRepresentation
bin101111110110…
…111000100000
3212121101021200
4233312320200
511202424233
61124521200
7211431000
oct57667040
925541250
1012545568
117099742
124250200
1327a3419
141948000
15117c313
hexbf6e20

12545568 has 144 divisors (see below), whose sum is σ = 41932800. Its totient is φ = 3556224.

The previous prime is 12545563. The next prime is 12545581. The reversal of 12545568 is 86554521.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (12545563) 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 23 ways as a sum of consecutive naturals, for example, 98721 + ... + 98847.

It is an arithmetic number, because the mean of its divisors is an integer number (291200).

Almost surely, 212545568 is an apocalyptic number.

12545568 is a gapful number since it is divisible by the number (18) 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 12545568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966400).

12545568 is an abundant number, since it is smaller than the sum of its proper divisors (29387232).

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

12545568 is a wasteful number, since it uses less digits than its factorization.

12545568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 139 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 12545568 is about 3541.9723319077. The cubic root of 12545568 is about 232.3611102487.

The spelling of 12545568 in words is "twelve million, five hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 127 144 147 168 196 224 252 254 288 294 336 343 381 392 441 504 508 588 672 686 762 784 882 889 1008 1016 1029 1143 1176 1372 1524 1568 1764 1778 2016 2032 2058 2286 2352 2667 2744 3048 3087 3528 3556 4064 4116 4572 4704 5334 5488 6096 6174 6223 7056 7112 8001 8232 9144 10668 10976 12192 12348 12446 14112 14224 16002 16464 18288 18669 21336 24696 24892 28448 32004 32928 36576 37338 42672 43561 49392 49784 56007 64008 74676 85344 87122 98784 99568 112014 128016 130683 149352 174244 199136 224028 256032 261366 298704 348488 392049 448056 522732 597408 696976 784098 896112 1045464 1393952 1568196 1792224 2090928 3136392 4181856 6272784 12545568