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11320960 = 27572192
BaseRepresentation
bin101011001011…
…111010000000
3210022011102211
4223023322000
510344232320
61042351504
7165140500
oct53137200
923264384
1011320960
116432672
12395b594
132464bc1
141709a00
15ed955a
hexacbe80

11320960 has 144 divisors (see below), whose sum is σ = 33227010. Its totient is φ = 3677184.

The previous prime is 11320957. The next prime is 11320973. The reversal of 11320960 is 6902311.

It can be written as a sum of positive squares in only one way, i.e., 10188864 + 1132096 = 3192^2 + 1064^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 595831 + ... + 595849.

Almost surely, 211320960 is an apocalyptic number.

11320960 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 11320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16613505).

11320960 is an abundant number, since it is smaller than the sum of its proper divisors (21906050).

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

11320960 is an equidigital number, since it uses as much as digits as its factorization.

11320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 11320960 is about 3364.6634304192. The cubic root of 11320960 is about 224.5403620864.

The spelling of 11320960 in words is "eleven million, three hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 49 56 64 70 76 80 95 98 112 128 133 140 152 160 190 196 224 245 266 280 304 320 361 380 392 448 490 532 560 608 640 665 722 760 784 896 931 980 1064 1120 1216 1330 1444 1520 1568 1805 1862 1960 2128 2240 2432 2527 2660 2888 3040 3136 3610 3724 3920 4256 4480 4655 5054 5320 5776 6080 6272 7220 7448 7840 8512 9310 10108 10640 11552 12160 12635 14440 14896 15680 17024 17689 18620 20216 21280 23104 25270 28880 29792 31360 35378 37240 40432 42560 46208 50540 57760 59584 70756 74480 80864 85120 88445 101080 115520 119168 141512 148960 161728 176890 202160 231040 283024 297920 323456 353780 404320 566048 595840 707560 808640 1132096 1415120 1617280 2264192 2830240 5660480 11320960