Search a number
-
+
12001950 = 23252149179
BaseRepresentation
bin101101110010…
…001010011110
3211120202120200
4231302022132
511033030300
61105124330
7204005052
oct55621236
924522520
1012001950
116858274
1240296a6
132642b5c
141845c62
1510c1200
hexb7229e

12001950 has 72 divisors (see below), whose sum is σ = 32643000. Its totient is φ = 3161280.

The previous prime is 12001943. The next prime is 12001961. The reversal of 12001950 is 5910021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66961 + ... + 67139.

It is an arithmetic number, because the mean of its divisors is an integer number (453375).

Almost surely, 212001950 is an apocalyptic number.

12001950 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 12001950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16321500).

12001950 is an abundant number, since it is smaller than the sum of its proper divisors (20641050).

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

12001950 is a wasteful number, since it uses less digits than its factorization.

12001950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 12001950 is about 3464.3830619607. The cubic root of 12001950 is about 228.9552489100.

Adding to 12001950 its reverse (5910021), we get a palindrome (17911971).

The spelling of 12001950 in words is "twelve million, one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 149 150 179 225 298 358 447 450 537 745 894 895 1074 1341 1490 1611 1790 2235 2682 2685 3222 3725 4470 4475 5370 6705 7450 8055 8950 11175 13410 13425 16110 22350 26671 26850 33525 40275 53342 67050 80013 80550 133355 160026 240039 266710 400065 480078 666775 800130 1200195 1333550 2000325 2400390 4000650 6000975 12001950