Search a number
-
+
11986912 = 25759907
BaseRepresentation
bin101101101110…
…011111100000
3211112222221201
4231232133200
511032040122
61104530544
7203613160
oct55563740
924488851
1011986912
116847a43
124020a54
132639062
1418405a0
1510bba27
hexb6e7e0

11986912 has 48 divisors (see below), whose sum is σ = 27457920. Its totient is φ = 5044608.

The previous prime is 11986879. The next prime is 11986913. The reversal of 11986912 is 21968911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11986913) 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, 12763 + ... + 13669.

It is an arithmetic number, because the mean of its divisors is an integer number (572040).

Almost surely, 211986912 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 11986912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13728960).

11986912 is an abundant number, since it is smaller than the sum of its proper divisors (15471008).

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

11986912 is an equidigital number, since it uses as much as digits as its factorization.

11986912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 975 counting only the distinct ones).

The product of its digits is 7776, while the sum is 37.

The square root of 11986912 is about 3462.2120096840. The cubic root of 11986912 is about 228.8595847879.

The spelling of 11986912 in words is "eleven million, nine hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 236 413 472 826 907 944 1652 1814 1888 3304 3628 6349 6608 7256 12698 13216 14512 25396 29024 50792 53513 101584 107026 203168 214052 374591 428104 749182 856208 1498364 1712416 2996728 5993456 11986912