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11330865 = 3257132767
BaseRepresentation
bin101011001110…
…010100110001
3210022200000200
4223032110301
510400041430
61042505413
7165211410
oct53162461
923280020
1011330865
11643a057
123965269
132469570
14170d477
15edc460
hexace531

11330865 has 48 divisors (see below), whose sum is σ = 24181248. Its totient is φ = 4779648.

The previous prime is 11330827. The next prime is 11330899. The reversal of 11330865 is 56803311.

11330865 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11330865 - 28 = 11330609 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2712 + ... + 5478.

It is an arithmetic number, because the mean of its divisors is an integer number (503776).

It is a vampire number, since it can be written as 13658301 (with its own digits).

Almost surely, 211330865 is an apocalyptic number.

11330865 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11330865 is an abundant number, since it is smaller than the sum of its proper divisors (12850383).

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

11330865 is a wasteful number, since it uses less digits than its factorization.

11330865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 11330865 is about 3366.1350240298. The cubic root of 11330865 is about 224.6058283828.

The spelling of 11330865 in words is "eleven million, three hundred thirty thousand, eight hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 2767 4095 8301 13835 19369 24903 35971 41505 58107 96845 107913 124515 174321 179855 251797 290535 323739 539565 755391 871605 1258985 1618695 2266173 3776955 11330865