Search a number
-
+
12000450 = 23527111039
BaseRepresentation
bin101101110001…
…110011000010
3211120200112010
4231301303002
511033003300
61105113350
7204000510
oct55616302
924520463
1012000450
116857130
124028856
132642277
1418454b0
1510c0a50
hexb71cc2

12000450 has 96 divisors (see below), whose sum is σ = 37140480. Its totient is φ = 2491200.

The previous prime is 12000433. The next prime is 12000467. The reversal of 12000450 is 5400021.

12000450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12000433) and next prime (12000467).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11031 + ... + 12069.

It is an arithmetic number, because the mean of its divisors is an integer number (386880).

Almost surely, 212000450 is an apocalyptic number.

12000450 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 12000450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570240).

12000450 is an abundant number, since it is smaller than the sum of its proper divisors (25140030).

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

12000450 is a wasteful number, since it uses less digits than its factorization.

12000450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 12000450 is about 3464.1665664341. The cubic root of 12000450 is about 228.9457102605.

Adding to 12000450 its reverse (5400021), we get a palindrome (17400471).

The spelling of 12000450 in words is "twelve million, four hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 50 55 66 70 75 77 105 110 150 154 165 175 210 231 275 330 350 385 462 525 550 770 825 1039 1050 1155 1650 1925 2078 2310 3117 3850 5195 5775 6234 7273 10390 11429 11550 14546 15585 21819 22858 25975 31170 34287 36365 43638 51950 57145 68574 72730 77925 80003 109095 114290 155850 160006 171435 181825 218190 240009 285725 342870 363650 400015 480018 545475 571450 800030 857175 1090950 1200045 1714350 2000075 2400090 4000150 6000225 12000450