Search a number
-
+
121086 = 2327312
BaseRepresentation
bin11101100011111110
320011002200
4131203332
512333321
62332330
71013010
oct354376
9204080
10121086
1182a79
125a0a6
1343164
14321b0
1525d26
hex1d8fe

121086 has 36 divisors (see below), whose sum is σ = 309816. Its totient is φ = 33480.

The previous prime is 121081. The next prime is 121123. The reversal of 121086 is 680121.

121086 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121081) by changing a digit.

121086 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3891 + ... + 3921.

It is an arithmetic number, because the mean of its divisors is an integer number (8606).

121086 is a Friedman number, since it can be written as 20181*6, using all its digits and the basic arithmetic operations.

2121086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154908).

121086 is an abundant number, since it is smaller than the sum of its proper divisors (188730).

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

121086 is a wasteful number, since it uses less digits than its factorization.

121086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 121086 is about 347.9741369700. The cubic root of 121086 is about 49.4725896607.

Adding to 121086 its sum of digits (18), we get a square (121104 = 3482).

It can be divided in two parts, 1210 and 86, that added together give a 4-th power (1296 = 64).

The spelling of 121086 in words is "one hundred twenty-one thousand, eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 961 1302 1922 1953 2883 3906 5766 6727 8649 13454 17298 20181 40362 60543 121086