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11040368 = 2419231579
BaseRepresentation
bin101010000111…
…011001110000
3202202220112112
4222013121300
510311242433
61032344452
7162561443
oct52073160
922686475
1011040368
116260879
123845128
132397281
14167565a
15e81348
hexa87670

11040368 has 40 divisors (see below), whose sum is σ = 23510400. Its totient is φ = 4999104.

The previous prime is 11040343. The next prime is 11040383. The reversal of 11040368 is 86304011.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6203 + ... + 7781.

It is an arithmetic number, because the mean of its divisors is an integer number (587760).

Almost surely, 211040368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11040368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11755200).

11040368 is an abundant number, since it is smaller than the sum of its proper divisors (12470032).

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

11040368 is a wasteful number, since it uses less digits than its factorization.

11040368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 11040368 is about 3322.7049221982. The cubic root of 11040368 is about 222.6697303573.

Adding to 11040368 its reverse (86304011), we get a palindrome (97344379).

The spelling of 11040368 in words is "eleven million, forty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 368 437 874 1579 1748 3158 3496 6316 6992 12632 25264 30001 36317 60002 72634 120004 145268 240008 290536 480016 581072 690023 1380046 2760092 5520184 11040368