Search a number
-
+
11426560 = 28579113
BaseRepresentation
bin101011100101…
…101100000000
3210111112021221
4223211230000
510411122220
61044524424
7166060405
oct53455400
923445257
1011426560
1164a4a42
1239b0714
1324a0ca2
1417362ac
15100a9aa
hexae5b00

11426560 has 72 divisors (see below), whose sum is σ = 27961920. Its totient is φ = 4472832.

The previous prime is 11426557. The next prime is 11426603. The reversal of 11426560 is 6562411.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101064 + ... + 101176.

It is an arithmetic number, because the mean of its divisors is an integer number (388360).

Almost surely, 211426560 is an apocalyptic number.

11426560 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 11426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13980960).

11426560 is an abundant number, since it is smaller than the sum of its proper divisors (16535360).

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

11426560 is an equidigital number, since it uses as much as digits as its factorization.

11426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 11426560 is about 3380.3195115255. The cubic root of 11426560 is about 225.2363606716.

Adding to 11426560 its reverse (6562411), we get a palindrome (17988971).

The spelling of 11426560 in words is "eleven million, four hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 113 128 158 160 226 256 316 320 395 452 565 632 640 790 904 1130 1264 1280 1580 1808 2260 2528 3160 3616 4520 5056 6320 7232 8927 9040 10112 12640 14464 17854 18080 20224 25280 28928 35708 36160 44635 50560 71416 72320 89270 101120 142832 144640 178540 285664 357080 571328 714160 1142656 1428320 2285312 2856640 5713280 11426560