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11091220 = 2257227349
BaseRepresentation
bin101010010011…
…110100010100
3202212111021221
4222103310110
510314404340
61033420124
7163162630
oct52236424
922774257
1011091220
116295aa8
12386a644
1323b446a
141689dc0
15e9144a
hexa93d14

11091220 has 48 divisors (see below), whose sum is σ = 26812800. Its totient is φ = 3775104.

The previous prime is 11091187. The next prime is 11091229. The reversal of 11091220 is 2219011.

It is a super-2 number, since 2×110912202 = 246030322176800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11091194 and 11091203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11091229) 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, 31606 + ... + 31954.

It is an arithmetic number, because the mean of its divisors is an integer number (558600).

Almost surely, 211091220 is an apocalyptic number.

11091220 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 11091220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13406400).

11091220 is an abundant number, since it is smaller than the sum of its proper divisors (15721580).

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

11091220 is a wasteful number, since it uses less digits than its factorization.

11091220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 11091220 is about 3330.3483301300. The cubic root of 11091220 is about 223.0110795034.

It can be divided in two parts, 11091 and 220, that added together give a palindrome (11311).

The spelling of 11091220 in words is "eleven million, ninety-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 227 349 454 698 908 1135 1396 1589 1745 2270 2443 3178 3490 4540 4886 6356 6980 7945 9772 12215 15890 24430 31780 48860 79223 158446 316892 396115 554561 792230 1109122 1584460 2218244 2772805 5545610 11091220