Search a number
-
+
1836180 = 223251012
BaseRepresentation
bin111000000010010010100
310110021202200
413000102110
5432224210
6103204500
721415203
oct7002224
93407680
101836180
111044605
12746730
134c39c8
1435b23a
152640c0
hex1c0494

1836180 has 54 divisors (see below), whose sum is σ = 5625438. Its totient is φ = 484800.

The previous prime is 1836157. The next prime is 1836239. The reversal of 1836180 is 816381.

It can be written as a sum of positive squares in 3 ways, for example, as 1140624 + 695556 = 1068^2 + 834^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18130 + ... + 18230.

21836180 is an apocalyptic number.

1836180 is a gapful number since it is divisible by the number (10) 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 1836180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812719).

1836180 is an abundant number, since it is smaller than the sum of its proper divisors (3789258).

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

1836180 is a wasteful number, since it uses less digits than its factorization.

1836180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1836180 is about 1355.0571943649. The cubic root of 1836180 is about 122.4536545494.

It can be divided in two parts, 1836 and 180, that added together give a triangular number (2016 = T63).

The spelling of 1836180 in words is "one million, eight hundred thirty-six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 10201 18180 20402 30603 40804 51005 61206 91809 102010 122412 153015 183618 204020 306030 367236 459045 612060 918090 1836180