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12052960 = 255711061
BaseRepresentation
bin101101111110…
…100111100000
3211200100112221
4231332213200
511041143320
61110200424
7204306553
oct55764740
924610487
1012052960
116892627
124053114
13266013a
14185a69a
1510d13aa
hexb7e9e0

12052960 has 48 divisors (see below), whose sum is σ = 28903392. Its totient is φ = 4748800.

The previous prime is 12052921. The next prime is 12052967. The reversal of 12052960 is 6925021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12052967) 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, 10830 + ... + 11890.

It is an arithmetic number, because the mean of its divisors is an integer number (602154).

Almost surely, 212052960 is an apocalyptic number.

12052960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12052960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14451696).

12052960 is an abundant number, since it is smaller than the sum of its proper divisors (16850432).

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

12052960 is a wasteful number, since it uses less digits than its factorization.

12052960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 12052960 is about 3471.7373172520. The cubic root of 12052960 is about 229.2791546194.

Adding to 12052960 its reverse (6925021), we get a palindrome (18977981).

The spelling of 12052960 in words is "twelve million, fifty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1061 1136 1420 2122 2272 2840 4244 5305 5680 8488 10610 11360 16976 21220 33952 42440 75331 84880 150662 169760 301324 376655 602648 753310 1205296 1506620 2410592 3013240 6026480 12052960