Search a number
-
+
12097170 = 2325139967
BaseRepresentation
bin101110001001…
…011010010010
3211202121012100
4232021122102
511044102140
61111141230
7204552501
oct56113222
924677170
1012097170
116912868
124074816
1326772b7
14186c838
1510de530
hexb89692

12097170 has 48 divisors (see below), whose sum is σ = 31711680. Its totient is φ = 3199392.

The previous prime is 12097159. The next prime is 12097171. The reversal of 12097170 is 7179021.

It is not an unprimeable number, because it can be changed into a prime (12097171) 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 23 ways as a sum of consecutive naturals, for example, 12027 + ... + 12993.

It is an arithmetic number, because the mean of its divisors is an integer number (660660).

Almost surely, 212097170 is an apocalyptic number.

12097170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12097170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15855840).

12097170 is an abundant number, since it is smaller than the sum of its proper divisors (19614510).

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

12097170 is a wasteful number, since it uses less digits than its factorization.

12097170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 12097170 is about 3478.0986184983. The cubic root of 12097170 is about 229.5591429159.

The spelling of 12097170 in words is "twelve million, ninety-seven thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 967 1251 1390 1934 2085 2502 2901 4170 4835 5802 6255 8703 9670 12510 14505 17406 29010 43515 87030 134413 268826 403239 672065 806478 1209717 1344130 2016195 2419434 4032390 6048585 12097170