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11286440 = 23511113227
BaseRepresentation
bin101011000011…
…011110101000
3210020102002022
4223003132220
510342131230
61041524012
7164635034
oct53033650
923212068
1011286440
116409740
123943608
132452289
1416db1c4
15ece1e5
hexac37a8

11286440 has 64 divisors (see below), whose sum is σ = 28071360. Its totient is φ = 4049920.

The previous prime is 11286427. The next prime is 11286463. The reversal of 11286440 is 4468211.

11286440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49607 + ... + 49833.

It is an arithmetic number, because the mean of its divisors is an integer number (438615).

Almost surely, 211286440 is an apocalyptic number.

11286440 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 11286440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14035680).

11286440 is an abundant number, since it is smaller than the sum of its proper divisors (16784920).

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

11286440 is a wasteful number, since it uses less digits than its factorization.

11286440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 11286440 is about 3359.5297289948. The cubic root of 11286440 is about 224.3119060499.

The spelling of 11286440 in words is "eleven million, two hundred eighty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 113 220 226 227 440 452 454 565 904 908 1130 1135 1243 1816 2260 2270 2486 2497 4520 4540 4972 4994 6215 9080 9944 9988 12430 12485 19976 24860 24970 25651 49720 49940 51302 99880 102604 128255 205208 256510 282161 513020 564322 1026040 1128644 1410805 2257288 2821610 5643220 11286440