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11044080 = 243355113
BaseRepresentation
bin101010001000…
…010011110000
3202210002122000
4222020103300
510311402310
61032414000
7162605325
oct52102360
922702560
1011044080
116263643
123847300
132398b78
141676b4c
15e824c0
hexa884f0

11044080 has 80 divisors (see below), whose sum is σ = 38048160. Its totient is φ = 2944512.

The previous prime is 11044057. The next prime is 11044081. The reversal of 11044080 is 8044011.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11044081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397 + ... + 4716.

It is an arithmetic number, because the mean of its divisors is an integer number (475602).

Almost surely, 211044080 is an apocalyptic number.

11044080 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 11044080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19024080).

11044080 is an abundant number, since it is smaller than the sum of its proper divisors (27004080).

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

11044080 is a wasteful number, since it uses less digits than its factorization.

11044080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135 (or 5123 counting only the distinct ones).

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

The square root of 11044080 is about 3323.2634563032. The cubic root of 11044080 is about 222.6946829502.

Adding to 11044080 its reverse (8044011), we get a palindrome (19088091).

It can be divided in two parts, 1104 and 4080, that added together give a square (5184 = 722).

The spelling of 11044080 in words is "eleven million, forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 5113 10226 15339 20452 25565 30678 40904 46017 51130 61356 76695 81808 92034 102260 122712 138051 153390 184068 204520 230085 245424 276102 306780 368136 409040 460170 552204 613560 690255 736272 920340 1104408 1227120 1380510 1840680 2208816 2761020 3681360 5522040 11044080