[go: up one dir, main page]

Search a number
-
+
12110304 = 2531011249
BaseRepresentation
bin101110001100…
…100111100000
3211210021012210
4232030213200
511100012204
61111322120
7204636003
oct56144740
924707183
1012110304
116921718
124080340
13268027b
14187353a
1510e3389
hexb8c9e0

12110304 has 48 divisors (see below), whose sum is σ = 32130000. Its totient is φ = 3993600.

The previous prime is 12110303. The next prime is 12110311. The reversal of 12110304 is 40301121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12110304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110303) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9072 + ... + 10320.

It is an arithmetic number, because the mean of its divisors is an integer number (669375).

Almost surely, 212110304 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 12110304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16065000).

12110304 is an abundant number, since it is smaller than the sum of its proper divisors (20019696).

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

12110304 is a wasteful number, since it uses less digits than its factorization.

12110304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12110304 is about 3479.9862068692. The cubic root of 12110304 is about 229.6421909702.

Adding to 12110304 its reverse (40301121), we get a palindrome (52411425).

The spelling of 12110304 in words is "twelve million, one hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1249 1616 2424 2498 3232 3747 4848 4996 7494 9696 9992 14988 19984 29976 39968 59952 119904 126149 252298 378447 504596 756894 1009192 1513788 2018384 3027576 4036768 6055152 12110304