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11083240 = 2357231721
BaseRepresentation
bin101010010001…
…110111101000
3202212002100101
4222101313220
510314130430
61033315144
7163130440
oct52216750
922762311
1011083240
116290003
123865ab4
1323b093c
141687120
15e8ddca
hexa91de8

11083240 has 64 divisors (see below), whose sum is σ = 29756160. Its totient is φ = 3632640.

The previous prime is 11083231. The next prime is 11083253. The reversal of 11083240 is 4238011.

11083240 = T251 + T252 + ... + T434.

11083240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5580 + ... + 7300.

It is an arithmetic number, because the mean of its divisors is an integer number (464940).

Almost surely, 211083240 is an apocalyptic number.

11083240 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 11083240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14878080).

11083240 is an abundant number, since it is smaller than the sum of its proper divisors (18672920).

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

11083240 is a wasteful number, since it uses less digits than its factorization.

11083240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 11083240 is about 3329.1500416773. The cubic root of 11083240 is about 222.9575820705.

The spelling of 11083240 in words is "eleven million, eighty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 1721 3220 3442 6440 6884 8605 12047 13768 17210 24094 34420 39583 48188 60235 68840 79166 96376 120470 158332 197915 240940 277081 316664 395830 481880 554162 791660 1108324 1385405 1583320 2216648 2770810 5541620 11083240