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11114280 = 2333541251
BaseRepresentation
bin101010011001…
…011100101000
3202220122221000
4222121130220
510321124110
61034115000
7163320102
oct52313450
922818830
1011114280
116301361
12387ba60
1323c1ac8
141694572
15e981c0
hexa99728

11114280 has 128 divisors (see below), whose sum is σ = 38102400. Its totient is φ = 2880000.

The previous prime is 11114263. The next prime is 11114287. The reversal of 11114280 is 8241111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11114287) 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 31 ways as a sum of consecutive naturals, for example, 44155 + ... + 44405.

It is an arithmetic number, because the mean of its divisors is an integer number (297675).

Almost surely, 211114280 is an apocalyptic number.

11114280 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 11114280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051200).

11114280 is an abundant number, since it is smaller than the sum of its proper divisors (26988120).

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

11114280 is a wasteful number, since it uses less digits than its factorization.

11114280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 11114280 is about 3333.8086327802. The cubic root of 11114280 is about 223.1655282640.

Adding to 11114280 its reverse (8241111), we get a palindrome (19355391).

The spelling of 11114280 in words is "eleven million, one hundred fourteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 82 90 108 120 123 135 164 180 205 216 246 251 270 328 360 369 410 492 502 540 615 738 753 820 984 1004 1080 1107 1230 1255 1476 1506 1640 1845 2008 2214 2259 2460 2510 2952 3012 3690 3765 4428 4518 4920 5020 5535 6024 6777 7380 7530 8856 9036 10040 10291 11070 11295 13554 14760 15060 18072 20582 22140 22590 27108 30120 30873 33885 41164 44280 45180 51455 54216 61746 67770 82328 90360 92619 102910 123492 135540 154365 185238 205820 246984 271080 277857 308730 370476 411640 463095 555714 617460 740952 926190 1111428 1234920 1389285 1852380 2222856 2778570 3704760 5557140 11114280