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11917080 = 2332574729
BaseRepresentation
bin101101011101…
…011100011000
3211102110011100
4231131130120
511022321310
61103231400
7203202450
oct55353430
924373140
1011917080
1167aa52a
123ba8560
132613336
141822d60
1510a5ec0
hexb5d718

11917080 has 96 divisors (see below), whose sum is σ = 44272800. Its totient is φ = 2723328.

The previous prime is 11917067. The next prime is 11917097. The reversal of 11917080 is 8071911.

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 23 ways as a sum of consecutive naturals, for example, 156 + ... + 4884.

It is an arithmetic number, because the mean of its divisors is an integer number (461175).

Almost surely, 211917080 is an apocalyptic number.

11917080 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 11917080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22136400).

11917080 is an abundant number, since it is smaller than the sum of its proper divisors (32355720).

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

11917080 is a wasteful number, since it uses less digits than its factorization.

11917080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4753 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The square root of 11917080 is about 3452.1123967797. The cubic root of 11917080 is about 228.4142975112.

Adding to 11917080 its reverse (8071911), we get a palindrome (19988991).

The spelling of 11917080 in words is "eleven million, nine hundred seventeen thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 4729 9458 14187 18916 23645 28374 33103 37832 42561 47290 56748 66206 70935 85122 94580 99309 113496 132412 141870 165515 170244 189160 198618 212805 264824 283740 297927 331030 340488 397236 425610 496545 567480 595854 662060 794472 851220 993090 1191708 1324120 1489635 1702440 1986180 2383416 2979270 3972360 5958540 11917080