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11401280 = 265114179
BaseRepresentation
bin101011011111…
…100001000000
3210110020121122
4223133201000
510404320110
61044211412
7165623612
oct53374100
923406548
1011401280
116487a50
123999b68
132492627
14172adb2
151003255
hexadf840

11401280 has 112 divisors (see below), whose sum is σ = 30723840. Its totient is φ = 3993600.

The previous prime is 11401279. The next prime is 11401289. The reversal of 11401280 is 8210411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11401289) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 144281 + ... + 144359.

It is an arithmetic number, because the mean of its divisors is an integer number (274320).

Almost surely, 211401280 is an apocalyptic number.

11401280 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 11401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

11401280 is an abundant number, since it is smaller than the sum of its proper divisors (19322560).

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

11401280 is a wasteful number, since it uses less digits than its factorization.

11401280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 11401280 is about 3376.5781495473. The cubic root of 11401280 is about 225.0701345148.

Adding to 11401280 its reverse (8210411), we get a palindrome (19611691).

The spelling of 11401280 in words is "eleven million, four hundred one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 64 79 80 82 88 110 158 160 164 176 205 220 316 320 328 352 395 410 440 451 632 656 704 790 820 869 880 902 1264 1312 1580 1640 1738 1760 1804 2255 2528 2624 3160 3239 3280 3476 3520 3608 4345 4510 5056 6320 6478 6560 6952 7216 8690 9020 12640 12956 13120 13904 14432 16195 17380 18040 25280 25912 27808 28864 32390 34760 35629 36080 51824 55616 64780 69520 71258 72160 103648 129560 139040 142516 144320 178145 207296 259120 278080 285032 356290 518240 570064 712580 1036480 1140128 1425160 2280256 2850320 5700640 11401280