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11020020 = 22351159283
BaseRepresentation
bin101010000010…
…011011110100
3202201212121220
4222002123310
510310120040
61032110340
7162445224
oct52023364
922655556
1011020020
116247560
1238353b0
13238ac2b
14166c084
15e7a2d0
hexa826f4

11020020 has 96 divisors (see below), whose sum is σ = 34352640. Its totient is φ = 2616960.

The previous prime is 11020003. The next prime is 11020039. The reversal of 11020020 is 2002011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 11019990 and 11020008.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 38799 + ... + 39081.

It is an arithmetic number, because the mean of its divisors is an integer number (357840).

Almost surely, 211020020 is an apocalyptic number.

11020020 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 11020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17176320).

11020020 is an abundant number, since it is smaller than the sum of its proper divisors (23332620).

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

11020020 is a wasteful number, since it uses less digits than its factorization.

11020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 11020020 is about 3319.6415469144. The cubic root of 11020020 is about 222.5328487461.

Adding to 11020020 its reverse (2002011), we get a palindrome (13022031).

Subtracting from 11020020 its reverse (2002011), we obtain a square (9018009 = 30032).

The spelling of 11020020 in words is "eleven million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 132 165 177 220 236 283 295 330 354 566 590 649 660 708 849 885 1132 1180 1298 1415 1698 1770 1947 2596 2830 3113 3245 3396 3540 3894 4245 5660 6226 6490 7788 8490 9339 9735 12452 12980 15565 16697 16980 18678 19470 31130 33394 37356 38940 46695 50091 62260 66788 83485 93390 100182 166970 183667 186780 200364 250455 333940 367334 500910 551001 734668 918335 1001820 1102002 1836670 2204004 2755005 3673340 5510010 11020020