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11230960 = 2451310799
BaseRepresentation
bin101010110101…
…111011110000
3210010120222111
4222311323300
510333342320
61040415104
7164314216
oct52657360
923116874
1011230960
116380a94
123917494
132432c50
1416c4cb6
15ebca5a
hexab5ef0

11230960 has 40 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 4146432.

The previous prime is 11230939. The next prime is 11231027. The reversal of 11230960 is 6903211.

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

It is a super-3 number, since 3×112309603 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 4360 + ... + 6439.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 211230960 is an apocalyptic number.

11230960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11230960 is an abundant number, since it is smaller than the sum of its proper divisors (16892240).

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

11230960 is a wasteful number, since it uses less digits than its factorization.

11230960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10825 (or 10819 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 11230960 is about 3351.2624486900. The cubic root of 11230960 is about 223.9437571380.

The spelling of 11230960 in words is "eleven million, two hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 10799 21598 43196 53995 86392 107990 140387 172784 215980 280774 431960 561548 701935 863920 1123096 1403870 2246192 2807740 5615480 11230960