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11410080 = 2535112161
BaseRepresentation
bin101011100001…
…101010100000
3210110200200120
4223201222200
510410110310
61044320240
7165661353
oct53415240
923420616
1011410080
116493620
1239a3080
132496636
14173029a
151005b70
hexae1aa0

11410080 has 96 divisors (see below), whose sum is σ = 39227328. Its totient is φ = 2764800.

The previous prime is 11410073. The next prime is 11410081. The reversal of 11410080 is 8001411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11410081) 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, 4200 + ... + 6360.

It is an arithmetic number, because the mean of its divisors is an integer number (408618).

Almost surely, 211410080 is an apocalyptic number.

11410080 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 11410080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19613664).

11410080 is an abundant number, since it is smaller than the sum of its proper divisors (27817248).

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

11410080 is a wasteful number, since it uses less digits than its factorization.

11410080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 11410080 is about 3377.8809925751. The cubic root of 11410080 is about 225.1280259044.

Adding to 11410080 its reverse (8001411), we get a palindrome (19411491).

The spelling of 11410080 in words is "eleven million, four hundred ten thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2161 2640 4322 5280 6483 8644 10805 12966 17288 21610 23771 25932 32415 34576 43220 47542 51864 64830 69152 71313 86440 95084 103728 118855 129660 142626 172880 190168 207456 237710 259320 285252 345760 356565 380336 475420 518640 570504 713130 760672 950840 1037280 1141008 1426260 1901680 2282016 2852520 3803360 5705040 11410080