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11440080 = 2432515889
BaseRepresentation
bin101011101000…
…111111010000
3210112012211200
4223220333100
510412040310
61045111200
7166145001
oct53507720
923465750
1011440080
116504113
1239b8500
1324a71a2
14173b1a8
15100e9c0
hexae8fd0

11440080 has 60 divisors (see below), whose sum is σ = 38422020. Its totient is φ = 3050496.

The previous prime is 11440073. The next prime is 11440097. The reversal of 11440080 is 8004411.

It can be written as a sum of positive squares in 2 ways, for example, as 3283344 + 8156736 = 1812^2 + 2856^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7225 + ... + 8664.

It is an arithmetic number, because the mean of its divisors is an integer number (640367).

Almost surely, 211440080 is an apocalyptic number.

11440080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11440080 is an abundant number, since it is smaller than the sum of its proper divisors (26981940).

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

11440080 is a wasteful number, since it uses less digits than its factorization.

11440080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15908 (or 15899 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11440080 is about 3382.3187312848. The cubic root of 11440080 is about 225.3251594979.

Adding to 11440080 its reverse (8004411), we get a palindrome (19444491).

The spelling of 11440080 in words is "eleven million, four hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 15889 31778 47667 63556 79445 95334 127112 143001 158890 190668 238335 254224 286002 317780 381336 476670 572004 635560 715005 762672 953340 1144008 1271120 1430010 1906680 2288016 2860020 3813360 5720040 11440080