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12886950 = 2352531621
BaseRepresentation
bin110001001010…
…001110100110
3220020201120110
4301022032212
511244340300
61140113450
7214352166
oct61121646
926221513
1012886950
11730217a
124395886
13289291b
1419d65a6
1511e8550
hexc4a3a6

12886950 has 48 divisors (see below), whose sum is σ = 32582736. Its totient is φ = 3369600.

The previous prime is 12886949. The next prime is 12886963. The reversal of 12886950 is 5968821.

It is a junction number, because it is equal to n+sod(n) for n = 12886899 and 12886908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7140 + ... + 8760.

It is an arithmetic number, because the mean of its divisors is an integer number (678807).

Almost surely, 212886950 is an apocalyptic number.

12886950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12886950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16291368).

12886950 is an abundant number, since it is smaller than the sum of its proper divisors (19695786).

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

12886950 is a wasteful number, since it uses less digits than its factorization.

12886950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 12886950 is about 3589.8398292960. The cubic root of 12886950 is about 234.4498978406.

It can be divided in two parts, 128 and 86950, that added together give a palindrome (87078).

The spelling of 12886950 in words is "twelve million, eight hundred eighty-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 53 75 106 150 159 265 318 530 795 1325 1590 1621 2650 3242 3975 4863 7950 8105 9726 16210 24315 40525 48630 81050 85913 121575 171826 243150 257739 429565 515478 859130 1288695 2147825 2577390 4295650 6443475 12886950