Search a number
-
+
10287856 = 2417109347
BaseRepresentation
bin100111001111…
…101011110000
3201100200021201
4213033223300
510113202411
61004300544
7153305515
oct47175360
921320251
1010287856
115897467
123541754
1321928b7
14151b30c
15d833c1
hex9cfaf0

10287856 has 40 divisors (see below), whose sum is σ = 21360240. Its totient is φ = 4783104.

The previous prime is 10287853. The next prime is 10287869. The reversal of 10287856 is 65878201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10287853) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29475 + ... + 29821.

It is an arithmetic number, because the mean of its divisors is an integer number (534006).

Almost surely, 210287856 is an apocalyptic number.

10287856 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 10287856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10680120).

10287856 is an abundant number, since it is smaller than the sum of its proper divisors (11072384).

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

10287856 is a wasteful number, since it uses less digits than its factorization.

10287856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 10287856 is about 3207.4687839479. The cubic root of 10287856 is about 217.4911680035.

The spelling of 10287856 in words is "ten million, two hundred eighty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 109 136 218 272 347 436 694 872 1388 1744 1853 2776 3706 5552 5899 7412 11798 14824 23596 29648 37823 47192 75646 94384 151292 302584 605168 642991 1285982 2571964 5143928 10287856