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11032180 = 2252329827
BaseRepresentation
bin101010000101…
…011001110100
3202202111022021
4222011121310
510311012210
61032242524
7162525535
oct52053164
922674267
1011032180
116255705
123840444
132393623
14167268c
15e7dbda
hexa85674

11032180 has 48 divisors (see below), whose sum is σ = 25038720. Its totient is φ = 4070528.

The previous prime is 11032163. The next prime is 11032181. The reversal of 11032180 is 8123011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11032181) 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, 12927 + ... + 13753.

It is an arithmetic number, because the mean of its divisors is an integer number (521640).

Almost surely, 211032180 is an apocalyptic number.

11032180 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 11032180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519360).

11032180 is an abundant number, since it is smaller than the sum of its proper divisors (14006540).

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

11032180 is a wasteful number, since it uses less digits than its factorization.

11032180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 11032180 is about 3321.4725649928. The cubic root of 11032180 is about 222.6146696727.

Adding to 11032180 its reverse (8123011), we get a palindrome (19155191).

The spelling of 11032180 in words is "eleven million, thirty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 827 1334 1654 2668 3308 3335 4135 6670 8270 13340 16540 19021 23983 38042 47966 76084 95105 95932 119915 190210 239830 380420 479660 551609 1103218 2206436 2758045 5516090 11032180