Search a number
-
+
11963864 = 2311232257
BaseRepresentation
bin101101101000…
…110111011000
3211111211100002
4231220313120
511030320424
61104232132
7203456033
oct55506730
924454302
1011963864
1168316a0
12400b648
13262b713
14183601a
1510b4cae
hexb68dd8

11963864 has 48 divisors (see below), whose sum is σ = 25681320. Its totient is φ = 5181440.

The previous prime is 11963857. The next prime is 11963867. The reversal of 11963864 is 46836911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11963867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46424 + ... + 46680.

Almost surely, 211963864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11963864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12840660).

11963864 is an abundant number, since it is smaller than the sum of its proper divisors (13717456).

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

11963864 is a wasteful number, since it uses less digits than its factorization.

11963864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 293 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 11963864 is about 3458.8819002678. The cubic root of 11963864 is about 228.7128097044.

The spelling of 11963864 in words is "eleven million, nine hundred sixty-three thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 257 506 514 529 1012 1028 1058 2024 2056 2116 2827 4232 5654 5819 5911 11308 11638 11822 22616 23276 23644 46552 47288 65021 130042 135953 260084 271906 520168 543812 1087624 1495483 2990966 5981932 11963864