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11263140 = 22325721277
BaseRepresentation
bin101010111101…
…110010100100
3210012020010100
4222331302210
510340410030
61041224100
7164510100
oct52756244
923166110
1011263140
1163a3189
123932030
1324447a5
1416d2900
15ec7360
hexabdca4

11263140 has 108 divisors (see below), whose sum is σ = 39773916. Its totient is φ = 2572416.

The previous prime is 11263121. The next prime is 11263157. The reversal of 11263140 is 4136211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5731236 + 5531904 = 2394^2 + 2352^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8182 + ... + 9458.

It is an arithmetic number, because the mean of its divisors is an integer number (368277).

Almost surely, 211263140 is an apocalyptic number.

11263140 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 11263140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19886958).

11263140 is an abundant number, since it is smaller than the sum of its proper divisors (28510776).

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

11263140 is a wasteful number, since it uses less digits than its factorization.

11263140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11263140 is about 3356.0601901635. The cubic root of 11263140 is about 224.1574413976.

Adding to 11263140 its reverse (4136211), we get a palindrome (15399351).

The spelling of 11263140 in words is "eleven million, two hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1277 1470 1764 2205 2554 2940 3831 4410 5108 6385 7662 8820 8939 11493 12770 15324 17878 19155 22986 25540 26817 35756 38310 44695 45972 53634 57465 62573 76620 80451 89390 107268 114930 125146 134085 160902 178780 187719 229860 250292 268170 312865 321804 375438 402255 536340 563157 625730 750876 804510 938595 1126314 1251460 1609020 1877190 2252628 2815785 3754380 5631570 11263140