Search a number
-
+
11943264 = 253472647
BaseRepresentation
bin101101100011…
…110101100000
3211110210002010
4231203311200
511024141024
61103552520
7203342004
oct55436540
924423063
1011943264
116818173
123bbb740
132622228
14182c704
1510adb29
hexb63d60

11943264 has 48 divisors (see below), whose sum is σ = 32030208. Its totient is φ = 3894912.

The previous prime is 11943257. The next prime is 11943271. The reversal of 11943264 is 46234911.

11943264 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 an interprime number because it is at equal distance from previous prime (11943257) and next prime (11943271).

It is a tau number, because it is divible by the number of its divisors (48).

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, 3189 + ... + 5835.

It is an arithmetic number, because the mean of its divisors is an integer number (667296).

Almost surely, 211943264 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 11943264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16015104).

11943264 is an abundant number, since it is smaller than the sum of its proper divisors (20086944).

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

11943264 is a wasteful number, since it uses less digits than its factorization.

11943264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2699 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 11943264 is about 3455.9027764102. The cubic root of 11943264 is about 228.5814644403.

The spelling of 11943264 in words is "eleven million, nine hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 2647 4512 5294 7941 10588 15882 21176 31764 42352 63528 84704 124409 127056 248818 254112 373227 497636 746454 995272 1492908 1990544 2985816 3981088 5971632 11943264