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11380180 = 2257292803
BaseRepresentation
bin101011011010…
…010111010100
3210102011200011
4223122113110
510403131210
61043530004
7165505240
oct53322724
923364604
1011380180
116473109
123989904
132485b46
141723420
15eebd8a
hexada5d4

11380180 has 48 divisors (see below), whose sum is σ = 28264320. Its totient is φ = 3765888.

The previous prime is 11380141. The next prime is 11380181. The reversal of 11380180 is 8108311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11380181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2659 + ... + 5461.

It is an arithmetic number, because the mean of its divisors is an integer number (588840).

Almost surely, 211380180 is an apocalyptic number.

11380180 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 11380180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14132160).

11380180 is an abundant number, since it is smaller than the sum of its proper divisors (16884140).

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

11380180 is a wasteful number, since it uses less digits than its factorization.

11380180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

The square root of 11380180 is about 3373.4522376936. The cubic root of 11380180 is about 224.9312053053.

Adding to 11380180 its reverse (8108311), we get a palindrome (19488491).

The spelling of 11380180 in words is "eleven million, three hundred eighty thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 2803 4060 5606 11212 14015 19621 28030 39242 56060 78484 81287 98105 162574 196210 325148 392420 406435 569009 812870 1138018 1625740 2276036 2845045 5690090 11380180