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12180352 = 27432213
BaseRepresentation
bin101110011101…
…101110000000
3211220211022011
4232131232000
511104232402
61113022304
7205350142
oct56355600
924824264
1012180352
11696a308
1240b4994
1326a6112
141890c92
151108ed7
hexb9db80

12180352 has 32 divisors (see below), whose sum is σ = 24841080. Its totient is φ = 5945856.

The previous prime is 12180341. The next prime is 12180359. The reversal of 12180352 is 25308121.

12180352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12180359) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4398 + ... + 6610.

Almost surely, 212180352 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 12180352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12420540).

12180352 is an abundant number, since it is smaller than the sum of its proper divisors (12660728).

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

12180352 is an equidigital number, since it uses as much as digits as its factorization.

12180352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 12180352 is about 3490.0361029651. The cubic root of 12180352 is about 230.0841028282.

Adding to 12180352 its reverse (25308121), we get a palindrome (37488473).

The spelling of 12180352 in words is "twelve million, one hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1376 2213 2752 4426 5504 8852 17704 35408 70816 95159 141632 190318 283264 380636 761272 1522544 3045088 6090176 12180352