Search a number
-
+
11293360 = 2451310859
BaseRepresentation
bin101011000101…
…001010110000
3210020202120121
4223011022300
510342341420
61042020024
7164664151
oct53051260
923222517
1011293360
116413961
123947614
132455480
1416dd928
15ed12aa
hexac52b0

11293360 has 40 divisors (see below), whose sum is σ = 28279440. Its totient is φ = 4169472.

The previous prime is 11293349. The next prime is 11293361. The reversal of 11293360 is 6339211.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (11293361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4390 + ... + 6469.

It is an arithmetic number, because the mean of its divisors is an integer number (706986).

Almost surely, 211293360 is an apocalyptic number.

11293360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11293360 is an abundant number, since it is smaller than the sum of its proper divisors (16986080).

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

11293360 is a wasteful number, since it uses less digits than its factorization.

11293360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10885 (or 10879 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 11293360 is about 3360.5594772299. The cubic root of 11293360 is about 224.3577404393.

It can be divided in two parts, 1129 and 3360, that added together give a square (4489 = 672).

The spelling of 11293360 in words is "eleven million, two hundred ninety-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 10859 21718 43436 54295 86872 108590 141167 173744 217180 282334 434360 564668 705835 868720 1129336 1411670 2258672 2823340 5646680 11293360