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11010240 = 263253823
BaseRepresentation
bin101010000000…
…000011000000
3202201101012200
4222000003000
510304311430
61031553200
7162404553
oct52000300
922641180
1011010240
11624017a
12382b800
132386647
14166869a
15e77460
hexa800c0

11010240 has 84 divisors (see below), whose sum is σ = 37880544. Its totient is φ = 2935296.

The previous prime is 11010229. The next prime is 11010247. The reversal of 11010240 is 4201011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11010247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 969 + ... + 4791.

Almost surely, 211010240 is an apocalyptic number.

11010240 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 11010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18940272).

11010240 is an abundant number, since it is smaller than the sum of its proper divisors (26870304).

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

11010240 is a wasteful number, since it uses less digits than its factorization.

11010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11010240 is about 3318.1681693368. The cubic root of 11010240 is about 222.4669984299.

Adding to 11010240 its reverse (4201011), we get a palindrome (15211251).

The spelling of 11010240 in words is "eleven million, ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 3823 7646 11469 15292 19115 22938 30584 34407 38230 45876 57345 61168 68814 76460 91752 114690 122336 137628 152920 172035 183504 229380 244672 275256 305840 344070 367008 458760 550512 611680 688140 734016 917520 1101024 1223360 1376280 1835040 2202048 2752560 3670080 5505120 11010240