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11231280 = 2432519821
BaseRepresentation
bin101010110110…
…000000110000
3210010121102100
4222312000300
510333400110
61040420400
7164315154
oct52660060
923117370
1011231280
116381255
123917700
132433138
1416c5064
15ebcbc0
hexab6030

11231280 has 120 divisors (see below), whose sum is σ = 39751920. Its totient is φ = 2833920.

The previous prime is 11231267. The next prime is 11231293. The reversal of 11231280 is 8213211.

It is an interprime number because it is at equal distance from previous prime (11231267) and next prime (11231293).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×112312802 = 252283300876800, which contains 22 as substring.

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

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, 13270 + ... + 14090.

It is an arithmetic number, because the mean of its divisors is an integer number (331266).

Almost surely, 211231280 is an apocalyptic number.

11231280 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 11231280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19875960).

11231280 is an abundant number, since it is smaller than the sum of its proper divisors (28520640).

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

11231280 is a wasteful number, since it uses less digits than its factorization.

11231280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11231280 is about 3351.3101915520. The cubic root of 11231280 is about 223.9458840361.

Adding to 11231280 its reverse (8213211), we get a palindrome (19444491).

It can be divided in two parts, 11231 and 280, that added together give a palindrome (11511).

The spelling of 11231280 in words is "eleven million, two hundred thirty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 821 855 912 1140 1368 1520 1642 1710 2280 2463 2736 3284 3420 4105 4560 4926 6568 6840 7389 8210 9852 12315 13136 13680 14778 15599 16420 19704 24630 29556 31198 32840 36945 39408 46797 49260 59112 62396 65680 73890 77995 93594 98520 118224 124792 140391 147780 155990 187188 197040 233985 249584 280782 295560 311980 374376 467970 561564 591120 623960 701955 748752 935940 1123128 1247920 1403910 1871880 2246256 2807820 3743760 5615640 11231280