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11041320 = 2335101911
BaseRepresentation
bin101010000111…
…101000101000
3202202221211210
4222013220220
510311310240
61032353120
7162564303
oct52075050
922687753
1011041320
116261564
1238457a0
132397834
141675b3a
15e81780
hexa87a28

11041320 has 64 divisors (see below), whose sum is σ = 33488640. Its totient is φ = 2912000.

The previous prime is 11041309. The next prime is 11041321. The reversal of 11041320 is 2314011.

It is a happy number.

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 = 11041296 and 11041305.

It is not an unprimeable number, because it can be changed into a prime (11041321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11665 + ... + 12575.

It is an arithmetic number, because the mean of its divisors is an integer number (523260).

Almost surely, 211041320 is an apocalyptic number.

11041320 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 11041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744320).

11041320 is an abundant number, since it is smaller than the sum of its proper divisors (22447320).

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

11041320 is a wasteful number, since it uses less digits than its factorization.

11041320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11041320 is about 3322.8481758877. The cubic root of 11041320 is about 222.6761303702.

Adding to 11041320 its reverse (2314011), we get a palindrome (13355331).

The spelling of 11041320 in words is "eleven million, forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 911 1010 1212 1515 1822 2020 2424 2733 3030 3644 4040 4555 5466 6060 7288 9110 10932 12120 13665 18220 21864 27330 36440 54660 92011 109320 184022 276033 368044 460055 552066 736088 920110 1104132 1380165 1840220 2208264 2760330 3680440 5520660 11041320