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11040414 = 23711231039
BaseRepresentation
bin101010000111…
…011010011110
3202202220121020
4222013122132
510311243124
61032345010
7162561540
oct52073236
922686536
1011040414
116260910
123845166
1323972b8
141675690
15e81379
hexa8769e

11040414 has 64 divisors (see below), whose sum is σ = 28753920. Its totient is φ = 2740320.

The previous prime is 11040413. The next prime is 11040431. The reversal of 11040414 is 41404011.

It is a junction number, because it is equal to n+sod(n) for n = 11040393 and 11040402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11040413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10107 + ... + 11145.

It is an arithmetic number, because the mean of its divisors is an integer number (449280).

Almost surely, 211040414 is an apocalyptic number.

11040414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11040414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14376960).

11040414 is an abundant number, since it is smaller than the sum of its proper divisors (17713506).

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

11040414 is a wasteful number, since it uses less digits than its factorization.

11040414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 11040414 is about 3322.7118442622. The cubic root of 11040414 is about 222.6700396101.

Adding to 11040414 its reverse (41404011), we get a palindrome (52444425).

The spelling of 11040414 in words is "eleven million, forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 462 483 506 759 966 1039 1518 1771 2078 3117 3542 5313 6234 7273 10626 11429 14546 21819 22858 23897 34287 43638 47794 68574 71691 80003 143382 160006 167279 240009 262867 334558 480018 501837 525734 788601 1003674 1577202 1840069 3680138 5520207 11040414