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11331840 = 283513227
BaseRepresentation
bin101011001110…
…100100000000
3210022201100210
4223032210000
510400104330
61042514120
7165214302
oct53164400
923281323
1011331840
11643a863
123965940
132469b40
14170d972
15edc8b0
hexace900

11331840 has 144 divisors (see below), whose sum is σ = 39146688. Its totient is φ = 2777088.

The previous prime is 11331823. The next prime is 11331851. The reversal of 11331840 is 4813311.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49807 + ... + 50033.

It is an arithmetic number, because the mean of its divisors is an integer number (271852).

Almost surely, 211331840 is an apocalyptic number.

11331840 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 11331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19573344).

11331840 is an abundant number, since it is smaller than the sum of its proper divisors (27814848).

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

11331840 is a wasteful number, since it uses less digits than its factorization.

11331840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11331840 is about 3366.2798457645. The cubic root of 11331840 is about 224.6122705036.

The spelling of 11331840 in words is "eleven million, three hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 227 240 256 260 312 320 384 390 416 454 480 520 624 640 681 768 780 832 908 960 1040 1135 1248 1280 1362 1560 1664 1816 1920 2080 2270 2496 2724 2951 3120 3328 3405 3632 3840 4160 4540 4992 5448 5902 6240 6810 7264 8320 8853 9080 9984 10896 11804 12480 13620 14528 14755 16640 17706 18160 21792 23608 24960 27240 29056 29510 35412 36320 43584 44265 47216 49920 54480 58112 59020 70824 72640 87168 88530 94432 108960 118040 141648 145280 174336 177060 188864 217920 236080 283296 290560 354120 377728 435840 472160 566592 708240 755456 871680 944320 1133184 1416480 1888640 2266368 2832960 3777280 5665920 11331840