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11388960 = 2532511719
BaseRepresentation
bin101011011100…
…100000100000
3210102121201100
4223130200200
510403421320
61044034400
7165542652
oct53344040
923377640
1011388960
116479770
123992a00
132489b3b
1417266d2
15eee790
hexadc820

11388960 has 144 divisors (see below), whose sum is σ = 42456960. Its totient is φ = 2757120.

The previous prime is 11388959. The next prime is 11388983. The reversal of 11388960 is 6988311.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15481 + ... + 16199.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 211388960 is an apocalyptic number.

11388960 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 11388960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

11388960 is an abundant number, since it is smaller than the sum of its proper divisors (31068000).

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

11388960 is a wasteful number, since it uses less digits than its factorization.

11388960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11388960 is about 3374.7533243187. The cubic root of 11388960 is about 224.9890365028.

The spelling of 11388960 in words is "eleven million, three hundred eighty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 719 720 792 880 990 1056 1320 1438 1440 1584 1760 1980 2157 2640 2876 3168 3595 3960 4314 5280 5752 6471 7190 7909 7920 8628 10785 11504 12942 14380 15818 15840 17256 21570 23008 23727 25884 28760 31636 32355 34512 39545 43140 47454 51768 57520 63272 64710 69024 71181 79090 86280 94908 103536 115040 118635 126544 129420 142362 158180 172560 189816 207072 237270 253088 258840 284724 316360 345120 355905 379632 474540 517680 569448 632720 711810 759264 949080 1035360 1138896 1265440 1423620 1898160 2277792 2847240 3796320 5694480 11388960