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11042220 = 2235761431
BaseRepresentation
bin101010000111…
…110110101100
3202210000002010
4222013312230
510311322340
61032401220
7162600030
oct52076654
922700063
1011042220
116262202
123846210
132398077
1416761c0
15e81b80
hexa87dac

11042220 has 96 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 2476800.

The previous prime is 11042209. The next prime is 11042221. The reversal of 11042220 is 2224011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11042196 and 11042205.

It is not an unprimeable number, because it can be changed into a prime (11042221) 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 31 ways as a sum of consecutive naturals, for example, 25405 + ... + 25835.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 211042220 is an apocalyptic number.

11042220 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 11042220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

11042220 is an abundant number, since it is smaller than the sum of its proper divisors (24955476).

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

11042220 is a wasteful number, since it uses less digits than its factorization.

11042220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 11042220 is about 3322.9835991169. The cubic root of 11042220 is about 222.6821804642.

Adding to 11042220 its reverse (2224011), we get a palindrome (13266231).

The spelling of 11042220 in words is "eleven million, forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 61 70 84 105 122 140 183 210 244 305 366 420 427 431 610 732 854 862 915 1220 1281 1293 1708 1724 1830 2135 2155 2562 2586 3017 3660 4270 4310 5124 5172 6034 6405 6465 8540 8620 9051 12068 12810 12930 15085 18102 25620 25860 26291 30170 36204 45255 52582 60340 78873 90510 105164 131455 157746 181020 184037 262910 315492 368074 394365 525820 552111 736148 788730 920185 1104222 1577460 1840370 2208444 2760555 3680740 5521110 11042220