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11042180 = 2251747691
BaseRepresentation
bin101010000111…
…110110000100
3202210000000122
4222013312010
510311322210
61032401112
7162566642
oct52076604
922700018
1011042180
116262176
123846198
132398046
141676192
15e81b55
hexa87d84

11042180 has 48 divisors (see below), whose sum is σ = 25111296. Its totient is φ = 4062720.

The previous prime is 11042153. The next prime is 11042183. The reversal of 11042180 is 8124011.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (11042183) 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, 15635 + ... + 16325.

It is an arithmetic number, because the mean of its divisors is an integer number (523152).

Almost surely, 211042180 is an apocalyptic number.

11042180 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 11042180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12555648).

11042180 is an abundant number, since it is smaller than the sum of its proper divisors (14069116).

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

11042180 is a wasteful number, since it uses less digits than its factorization.

11042180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 11042180 is about 3322.9775804239. The cubic root of 11042180 is about 222.6819115781.

Adding to 11042180 its reverse (8124011), we get a palindrome (19166191).

The spelling of 11042180 in words is "eleven million, forty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 170 188 235 340 470 691 799 940 1382 1598 2764 3196 3455 3995 6910 7990 11747 13820 15980 23494 32477 46988 58735 64954 117470 129908 162385 234940 324770 552109 649540 1104218 2208436 2760545 5521090 11042180