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11040640 = 275131327
BaseRepresentation
bin101010000111…
…011110000000
3202202220220121
4222013132000
510311300030
61032350024
7162562312
oct52073600
922686817
1011040640
116260aa6
123845314
132397430
1416757b2
15e8147a
hexa87780

11040640 has 64 divisors (see below), whose sum is σ = 28445760. Its totient is φ = 4073472.

The previous prime is 11040587. The next prime is 11040647. The reversal of 11040640 is 4604011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11040647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7657 + ... + 8983.

It is an arithmetic number, because the mean of its divisors is an integer number (444465).

Almost surely, 211040640 is an apocalyptic number.

11040640 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 11040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14222880).

11040640 is an abundant number, since it is smaller than the sum of its proper divisors (17405120).

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

11040640 is a wasteful number, since it uses less digits than its factorization.

11040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 11040640 is about 3322.7458524540. The cubic root of 11040640 is about 222.6715589700.

Adding to 11040640 its reverse (4604011), we get a palindrome (15644651).

The spelling of 11040640 in words is "eleven million, forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1327 1664 2080 2654 4160 5308 6635 8320 10616 13270 17251 21232 26540 34502 42464 53080 69004 84928 86255 106160 138008 169856 172510 212320 276016 345020 424640 552032 690040 849280 1104064 1380080 2208128 2760160 5520320 11040640