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11160180 = 22345832
BaseRepresentation
bin101010100100…
…101001110100
3202222222220000
4222210221310
510324111210
61035111300
7163600653
oct52445164
922888800
1011160180
116332899
1238a2530
132409975
1416a719a
15ea6ac0
hexaa4a74

11160180 has 90 divisors (see below), whose sum is σ = 35436786. Its totient is φ = 2940192.

The previous prime is 11160179. The next prime is 11160181. The reversal of 11160180 is 8106111.

It is an interprime number because it is at equal distance from previous prime (11160179) and next prime (11160181).

It can be written as a sum of positive squares in only one way, i.e., 8928144 + 2232036 = 2988^2 + 1494^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11160181) 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 29 ways as a sum of consecutive naturals, for example, 134419 + ... + 134501.

Almost surely, 211160180 is an apocalyptic number.

11160180 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 11160180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17718393).

11160180 is an abundant number, since it is smaller than the sum of its proper divisors (24276606).

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

11160180 is an equidigital number, since it uses as much as digits as its factorization.

11160180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 11160180 is about 3340.6855583847. The cubic root of 11160180 is about 223.4723176381.

Adding to 11160180 its reverse (8106111), we get a palindrome (19266291).

The spelling of 11160180 in words is "eleven million, one hundred sixty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 83 90 108 135 162 166 180 249 270 324 332 405 415 498 540 747 810 830 996 1245 1494 1620 1660 2241 2490 2988 3735 4482 4980 6723 6889 7470 8964 11205 13446 13778 14940 20667 22410 26892 27556 33615 34445 41334 44820 62001 67230 68890 82668 103335 124002 134460 137780 186003 206670 248004 310005 372006 413340 558009 620010 744012 930015 1116018 1240020 1860030 2232036 2790045 3720060 5580090 11160180