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12845136 = 2434161107
BaseRepresentation
bin110001000000…
…000001010000
3220011121012210
4301000001100
511242021021
61135152120
7214116243
oct61000120
926147183
1012845136
117283817
124375640
132879895
1419c525a
1511dae76
hexc40050

12845136 has 80 divisors (see below), whose sum is σ = 34872768. Its totient is φ = 4070400.

The previous prime is 12845123. The next prime is 12845137. The reversal of 12845136 is 63154821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12845137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119995 + ... + 120101.

Almost surely, 212845136 is an apocalyptic number.

12845136 is a gapful number since it is divisible by the number (16) 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 12845136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17436384).

12845136 is an abundant number, since it is smaller than the sum of its proper divisors (22027632).

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

12845136 is a wasteful number, since it uses less digits than its factorization.

12845136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 12845136 is about 3584.0111606969. The cubic root of 12845136 is about 234.1960516365.

Adding to 12845136 its reverse (63154821), we get a palindrome (75999957).

It can be divided in two parts, 1284 and 5136, that multiplied together give a square (6594624 = 25682).

The spelling of 12845136 in words is "twelve million, eight hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 61 82 107 122 123 164 183 214 244 246 321 328 366 428 488 492 642 656 732 856 976 984 1284 1464 1712 1968 2501 2568 2928 4387 5002 5136 6527 7503 8774 10004 13054 13161 15006 17548 19581 20008 26108 26322 30012 35096 39162 40016 52216 52644 60024 70192 78324 104432 105288 120048 156648 210576 267607 313296 535214 802821 1070428 1605642 2140856 3211284 4281712 6422568 12845136