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11052180 = 2233597211
BaseRepresentation
bin101010001010…
…010010010100
3202210111202000
4222022102110
510312132210
61032515300
7162641046
oct52122224
922714660
1011052180
116269737
12384bb30
13239c769
141679a96
15e84ac0
hexa8a494

11052180 has 96 divisors (see below), whose sum is σ = 34903680. Its totient is φ = 2903040.

The previous prime is 11052169. The next prime is 11052187. The reversal of 11052180 is 8125011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11052187) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52275 + ... + 52485.

It is an arithmetic number, because the mean of its divisors is an integer number (363580).

Almost surely, 211052180 is an apocalyptic number.

11052180 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 11052180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17451840).

11052180 is an abundant number, since it is smaller than the sum of its proper divisors (23851500).

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

11052180 is a wasteful number, since it uses less digits than its factorization.

11052180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 11052180 is about 3324.4819145244. The cubic root of 11052180 is about 222.7491128988.

Adding to 11052180 its reverse (8125011), we get a palindrome (19177191).

The spelling of 11052180 in words is "eleven million, fifty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 97 108 135 180 194 211 270 291 388 422 485 540 582 633 844 873 970 1055 1164 1266 1455 1746 1899 1940 2110 2532 2619 2910 3165 3492 3798 4220 4365 5238 5697 5820 6330 7596 8730 9495 10476 11394 12660 13095 17460 18990 20467 22788 26190 28485 37980 40934 52380 56970 61401 81868 102335 113940 122802 184203 204670 245604 307005 368406 409340 552609 614010 736812 921015 1105218 1228020 1842030 2210436 2763045 3684060 5526090 11052180