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11966144 = 26593169
BaseRepresentation
bin101101101001…
…011011000000
3211111221110112
4231221123000
511030404034
61104250452
7203465501
oct55513300
924457415
1011966144
116833383
124010a28
13262c778
141836ba8
1510b57ce
hexb696c0

11966144 has 28 divisors (see below), whose sum is σ = 24155400. Its totient is φ = 5879808.

The previous prime is 11966111. The next prime is 11966159. The reversal of 11966144 is 44166911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11966144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2192 + ... + 5360.

Almost surely, 211966144 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 11966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12077700).

11966144 is an abundant number, since it is smaller than the sum of its proper divisors (12189256).

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

11966144 is an equidigital number, since it uses as much as digits as its factorization.

11966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3230 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 11966144 is about 3459.2114708413. The cubic root of 11966144 is about 228.7273376775.

The spelling of 11966144 in words is "eleven million, nine hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 59 64 118 236 472 944 1888 3169 3776 6338 12676 25352 50704 101408 186971 202816 373942 747884 1495768 2991536 5983072 11966144