Search a number
-
+
12096880 = 245891699
BaseRepresentation
bin101110001001…
…010101110000
3211202120210121
4232021111300
511044100010
61111140024
7204551605
oct56112560
924676717
1012096880
116912624
124074614
132677123
14186c6ac
1510de3da
hexb89570

12096880 has 40 divisors (see below), whose sum is σ = 28458000. Its totient is φ = 4781568.

The previous prime is 12096869. The next prime is 12096881. The reversal of 12096880 is 8869021.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12096881) 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, 6271 + ... + 7969.

It is an arithmetic number, because the mean of its divisors is an integer number (711450).

Almost surely, 212096880 is an apocalyptic number.

12096880 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 12096880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14229000).

12096880 is an abundant number, since it is smaller than the sum of its proper divisors (16361120).

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

12096880 is a wasteful number, since it uses less digits than its factorization.

12096880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 12096880 is about 3478.0569288038. The cubic root of 12096880 is about 229.5573085287.

The spelling of 12096880 in words is "twelve million, ninety-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1699 1780 3398 3560 6796 7120 8495 13592 16990 27184 33980 67960 135920 151211 302422 604844 756055 1209688 1512110 2419376 3024220 6048440 12096880