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11089540 = 22571119379
BaseRepresentation
bin101010010011…
…011010000100
3202212101222201
4222103122010
510314331130
61033404244
7163155010
oct52233204
922771881
1011089540
116294810
123869684
1323b3777
141689540
15e90bca
hexa93684

11089540 has 96 divisors (see below), whose sum is σ = 30643200. Its totient is φ = 3265920.

The previous prime is 11089531. The next prime is 11089549. The reversal of 11089540 is 4598011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11089531) and next prime (11089549).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11089499 and 11089508.

It is not an unprimeable number, because it can be changed into a prime (11089549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29071 + ... + 29449.

It is an arithmetic number, because the mean of its divisors is an integer number (319200).

Almost surely, 211089540 is an apocalyptic number.

11089540 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 11089540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15321600).

11089540 is an abundant number, since it is smaller than the sum of its proper divisors (19553660).

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

11089540 is a wasteful number, since it uses less digits than its factorization.

11089540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 11089540 is about 3330.0960947096. The cubic root of 11089540 is about 222.9998190189. Note that the first 3 decimals are identical.

It can be divided in two parts, 1108 and 9540, that added together give a cube (10648 = 223).

The spelling of 11089540 in words is "eleven million, eighty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 379 380 385 418 532 665 758 770 836 1045 1330 1463 1516 1540 1895 2090 2653 2660 2926 3790 4169 4180 5306 5852 7201 7315 7580 8338 10612 13265 14402 14630 16676 20845 26530 28804 29183 29260 36005 41690 50407 53060 58366 72010 79211 83380 100814 116732 144020 145915 158422 201628 252035 291830 316844 396055 504070 554477 583660 792110 1008140 1108954 1584220 2217908 2772385 5544770 11089540