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12763136 = 2141941
BaseRepresentation
bin110000101100…
…000000000000
3220000102201202
4300230000000
511231410021
61133320332
7213325211
oct60540000
926012652
1012763136
117228151
1243360a8
13284b469
1419a3408
1511c1a0b
hexc2c000

12763136 has 60 divisors (see below), whose sum is σ = 27524280. Its totient is φ = 5898240.

The previous prime is 12763133. The next prime is 12763147. The reversal of 12763136 is 63136721.

It is a junction number, because it is equal to n+sod(n) for n = 12763099 and 12763108.

It is not an unprimeable number, because it can be changed into a prime (12763133) 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 3 ways as a sum of consecutive naturals, for example, 311276 + ... + 311316.

It is an arithmetic number, because the mean of its divisors is an integer number (458738).

Almost surely, 212763136 is an apocalyptic number.

12763136 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 12763136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13762140).

12763136 is an abundant number, since it is smaller than the sum of its proper divisors (14761144).

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

12763136 is an frugal number, since it uses more digits than its factorization.

12763136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 62 counting only the distinct ones).

The product of its digits is 4536, while the sum is 29.

The square root of 12763136 is about 3572.5531486599. The cubic root of 12763136 is about 233.6966385672.

Adding to 12763136 its reverse (63136721), we get a palindrome (75899857).

The spelling of 12763136 in words is "twelve million, seven hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 128 152 164 256 304 328 512 608 656 779 1024 1216 1312 1558 2048 2432 2624 3116 4096 4864 5248 6232 8192 9728 10496 12464 16384 19456 20992 24928 38912 41984 49856 77824 83968 99712 155648 167936 199424 311296 335872 398848 671744 797696 1595392 3190784 6381568 12763136