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1102080 = 2835741
BaseRepresentation
bin100001101000100000000
32001222202210
410031010000
5240231310
635342120
712240030
oct4150400
92058683
101102080
11693011
12451940
132c7825
142098c0
1516b820
hex10d100

1102080 has 144 divisors (see below), whose sum is σ = 4120704. Its totient is φ = 245760.

The previous prime is 1102069. The next prime is 1102111. The reversal of 1102080 is 802011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26860 + ... + 26900.

It is an arithmetic number, because the mean of its divisors is an integer number (28616).

21102080 is an apocalyptic number.

1102080 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 1102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060352).

1102080 is an abundant number, since it is smaller than the sum of its proper divisors (3018624).

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

1102080 is an equidigital number, since it uses as much as digits as its factorization.

1102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1102080 is about 1049.7999809488. The cubic root of 1102080 is about 103.2930355065.

Adding to 1102080 its reverse (802011), we get a palindrome (1904091).

The spelling of 1102080 in words is "one million, one hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 41 42 48 56 60 64 70 80 82 84 96 105 112 120 123 128 140 160 164 168 192 205 210 224 240 246 256 280 287 320 328 336 384 410 420 448 480 492 560 574 615 640 656 672 768 820 840 861 896 960 984 1120 1148 1230 1280 1312 1344 1435 1640 1680 1722 1792 1920 1968 2240 2296 2460 2624 2688 2870 3280 3360 3444 3840 3936 4305 4480 4592 4920 5248 5376 5740 6560 6720 6888 7872 8610 8960 9184 9840 10496 11480 13120 13440 13776 15744 17220 18368 19680 22960 26240 26880 27552 31488 34440 36736 39360 45920 52480 55104 68880 73472 78720 91840 110208 137760 157440 183680 220416 275520 367360 551040 1102080