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11320640 = 265172081
BaseRepresentation
bin101011001011…
…110101000000
3210022010222222
4223023311000
510344230030
61042350212
7165136532
oct53136500
923263888
1011320640
116432401
12395b368
132464a06
141709852
15ed93e5
hexacbd40

11320640 has 56 divisors (see below), whose sum is σ = 28556712. Its totient is φ = 4259840.

The previous prime is 11320609. The next prime is 11320649. The reversal of 11320640 is 4602311.

It can be written as a sum of positive squares in 4 ways, for example, as 1784896 + 9535744 = 1336^2 + 3088^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320649) by changing a digit.

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, 4400 + ... + 6480.

Almost surely, 211320640 is an apocalyptic number.

11320640 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 11320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14278356).

11320640 is an abundant number, since it is smaller than the sum of its proper divisors (17236072).

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

11320640 is a wasteful number, since it uses less digits than its factorization.

11320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 11320640 is about 3364.6158770356. The cubic root of 11320640 is about 224.5382464356.

Adding to 11320640 its reverse (4602311), we get a palindrome (15922951).

The spelling of 11320640 in words is "eleven million, three hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2081 2720 4162 5440 8324 10405 16648 20810 33296 35377 41620 66592 70754 83240 133184 141508 166480 176885 283016 332960 353770 566032 665920 707540 1132064 1415080 2264128 2830160 5660320 11320640