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11608080 = 2435114397
BaseRepresentation
bin101100010010…
…000000010000
3210211202021220
4230102000100
510432424310
61052445040
7200444541
oct54220020
923752256
1011608080
116609360
123a79780
1325357b3
1417824c8
151044670
hexb12010

11608080 has 80 divisors (see below), whose sum is σ = 39265344. Its totient is φ = 2813440.

The previous prime is 11608067. The next prime is 11608081. The reversal of 11608080 is 8080611.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11608080.

It is not an unprimeable number, because it can be changed into a prime (11608081) 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, 442 + ... + 4838.

Almost surely, 211608080 is an apocalyptic number.

11608080 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 11608080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19632672).

11608080 is an abundant number, since it is smaller than the sum of its proper divisors (27657264).

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

11608080 is a wasteful number, since it uses less digits than its factorization.

11608080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 11608080 is about 3407.0632515408. The cubic root of 11608080 is about 226.4227865206.

Adding to 11608080 its reverse (8080611), we get a palindrome (19688691).

The spelling of 11608080 in words is "eleven million, six hundred eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4397 8794 13191 17588 21985 26382 35176 43970 48367 52764 65955 70352 87940 96734 105528 131910 145101 175880 193468 211056 241835 263820 290202 351760 386936 483670 527640 580404 725505 773872 967340 1055280 1160808 1451010 1934680 2321616 2902020 3869360 5804040 11608080