Search a number
-
+
104286 = 23713191
BaseRepresentation
bin11001011101011110
312022001110
4121131132
511314121
62122450
7613020
oct313536
9168043
10104286
1171396
1250426
1338610
142a010
1520d76
hex1975e

104286 has 32 divisors (see below), whose sum is σ = 258048. Its totient is φ = 27360.

The previous prime is 104281. The next prime is 104287. The reversal of 104286 is 682401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104281) by changing a digit.

104286 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 451 + ... + 641.

It is an arithmetic number, because the mean of its divisors is an integer number (8064).

2104286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129024).

104286 is an abundant number, since it is smaller than the sum of its proper divisors (153762).

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

104286 is a wasteful number, since it uses less digits than its factorization.

104286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 104286 is about 322.9334296724. The cubic root of 104286 is about 47.0697621018.

Adding to 104286 its reverse (682401), we get a palindrome (786687).

It can be divided in two parts, 1042 and 86, that added together give a triangular number (1128 = T47).

The spelling of 104286 in words is "one hundred four thousand, two hundred eighty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 191 273 382 546 573 1146 1337 2483 2674 4011 4966 7449 8022 14898 17381 34762 52143 104286