Search a number
-
+
1129180 = 2251343101
BaseRepresentation
bin100010011101011011100
32010100221111
410103223130
5242113210
640111404
712412033
oct4235334
92110844
101129180
11701408
12465564
13306c70
1421571a
1517488a
hex113adc

1129180 has 48 divisors (see below), whose sum is σ = 2638944. Its totient is φ = 403200.

The previous prime is 1129169. The next prime is 1129187. The reversal of 1129180 is 819211.

1129180 is nontrivially palindromic in base 12.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129187) by changing a digit.

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, 11130 + ... + 11230.

It is an arithmetic number, because the mean of its divisors is an integer number (54978).

21129180 is an apocalyptic number.

1129180 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 1129180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319472).

1129180 is an abundant number, since it is smaller than the sum of its proper divisors (1509764).

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

1129180 is a wasteful number, since it uses less digits than its factorization.

1129180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 1129180 is about 1062.6288157207. The cubic root of 1129180 is about 104.1328430629.

The spelling of 1129180 in words is "one million, one hundred twenty-nine thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 101 130 172 202 215 260 404 430 505 559 860 1010 1118 1313 2020 2236 2626 2795 4343 5252 5590 6565 8686 11180 13130 17372 21715 26260 43430 56459 86860 112918 225836 282295 564590 1129180