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12097072 = 2413193061
BaseRepresentation
bin101110001001…
…011000110000
3211202121001201
4232021120300
511044101242
61111140544
7204552301
oct56113060
924677051
1012097072
116912789
124074754
132677240
14186c7a8
1510de4b7
hexb89630

12097072 has 40 divisors (see below), whose sum is σ = 26578160. Its totient is φ = 5287680.

The previous prime is 12097069. The next prime is 12097079. The reversal of 12097072 is 27079021.

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 12097072.

It is not an unprimeable number, because it can be changed into a prime (12097079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2422 + ... + 5482.

It is an arithmetic number, because the mean of its divisors is an integer number (664454).

Almost surely, 212097072 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 12097072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13289080).

12097072 is an abundant number, since it is smaller than the sum of its proper divisors (14481088).

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

12097072 is a wasteful number, since it uses less digits than its factorization.

12097072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 12097072 is about 3478.0845303126. The cubic root of 12097072 is about 229.5585230228.

It can be divided in two parts, 1209 and 7072, that added together give a square (8281 = 912).

The spelling of 12097072 in words is "twelve million, ninety-seven thousand, seventy-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 3061 3952 6122 12244 24488 39793 48976 58159 79586 116318 159172 232636 318344 465272 636688 756067 930544 1512134 3024268 6048536 12097072