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11986368 = 263163383
BaseRepresentation
bin101101101110…
…010111000000
3211112222012120
4231232113000
511032030433
61104524240
7203611452
oct55562700
924488176
1011986368
116847599
124020680
132638a34
1418402d2
1510bb7b3
hexb6e5c0

11986368 has 56 divisors (see below), whose sum is σ = 31991808. Its totient is φ = 3960576.

The previous prime is 11986361. The next prime is 11986417. The reversal of 11986368 is 86368911.

11986368 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11986361) 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, 31105 + ... + 31487.

Almost surely, 211986368 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 11986368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15995904).

11986368 is an abundant number, since it is smaller than the sum of its proper divisors (20005440).

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

11986368 is a wasteful number, since it uses less digits than its factorization.

11986368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 551 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 11986368 is about 3462.1334463016. The cubic root of 11986368 is about 228.8561226369.

The spelling of 11986368 in words is "eleven million, nine hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 163 192 326 383 489 652 766 978 1149 1304 1532 1956 2298 2608 3064 3912 4596 5216 6128 7824 9192 10432 12256 15648 18384 24512 31296 36768 62429 73536 124858 187287 249716 374574 499432 749148 998864 1498296 1997728 2996592 3995456 5993184 11986368