Search a number
-
+
12032320 = 265191979
BaseRepresentation
bin101101111001…
…100101000000
3211122022020111
4231321211000
511040013240
61105521104
7204162436
oct55714500
924568214
1012032320
116879073
124043194
132653921
141852d56
1510ca1ea
hexb79940

12032320 has 56 divisors (see below), whose sum is σ = 30175200. Its totient is φ = 4557312.

The previous prime is 12032297. The next prime is 12032327. The reversal of 12032320 is 2323021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12032320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032327) 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, 5091 + ... + 7069.

Almost surely, 212032320 is an apocalyptic number.

12032320 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 12032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087600).

12032320 is an abundant number, since it is smaller than the sum of its proper divisors (18142880).

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

12032320 is a wasteful number, since it uses less digits than its factorization.

12032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 12032320 is about 3468.7634684423. The cubic root of 12032320 is about 229.1482040590.

Adding to 12032320 its reverse (2323021), we get a palindrome (14355341).

The spelling of 12032320 in words is "twelve million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 1979 3040 3958 6080 7916 9895 15832 19790 31664 37601 39580 63328 75202 79160 126656 150404 158320 188005 300808 316640 376010 601616 633280 752020 1203232 1504040 2406464 3008080 6016160 12032320