Search a number
-
+
1205130 = 235172139
BaseRepresentation
bin100100110001110001010
32021020010110
410212032022
5302031010
641455150
713146333
oct4461612
92236113
101205130
11753483
124a14b6
133326c4
1423528a
1518c120
hex12638a

1205130 has 48 divisors (see below), whose sum is σ = 3094560. Its totient is φ = 300288.

The previous prime is 1205123. The next prime is 1205159. The reversal of 1205130 is 315021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8601 + ... + 8739.

It is an arithmetic number, because the mean of its divisors is an integer number (64470).

21205130 is an apocalyptic number.

1205130 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 1205130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547280).

1205130 is an abundant number, since it is smaller than the sum of its proper divisors (1889430).

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

1205130 is a wasteful number, since it uses less digits than its factorization.

1205130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1205130 is about 1097.7841317855. The cubic root of 1205130 is about 106.4170704893.

The spelling of 1205130 in words is "one million, two hundred five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 139 170 255 278 289 417 510 578 695 834 867 1390 1445 1734 2085 2363 2890 4170 4335 4726 7089 8670 11815 14178 23630 35445 40171 70890 80342 120513 200855 241026 401710 602565 1205130