Search a number
-
+
1200050424 = 233331277647
BaseRepresentation
bin100011110000111…
…0101000011111000
310002122002212201000
41013201311003320
54424203103144
6315025125000
741511155166
oct10741650370
93078085630
101200050424
11566440711
12295a89760
13161811411
14b5544236
157054a769
hex478750f8

1200050424 has 128 divisors (see below), whose sum is σ = 3458764800. Its totient is φ = 385119360.

The previous prime is 1200050419. The next prime is 1200050429. The reversal of 1200050424 is 4240500021.

It is an interprime number because it is at equal distance from previous prime (1200050419) and next prime (1200050429).

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

It is a junction number, because it is equal to n+sod(n) for n = 1200050397 and 1200050406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200050429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1854469 + ... + 1855115.

It is an arithmetic number, because the mean of its divisors is an integer number (27021600).

Almost surely, 21200050424 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 1200050424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729382400).

1200050424 is an abundant number, since it is smaller than the sum of its proper divisors (2258714376).

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

1200050424 is a wasteful number, since it uses less digits than its factorization.

1200050424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1200050424 is about 34641.7439514814. The cubic root of 1200050424 is about 1062.6734532785.

Adding to 1200050424 its reverse (4240500021), we get a palindrome (5440550445).

The spelling of 1200050424 in words is "one billion, two hundred million, fifty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 277 279 372 554 558 647 744 831 837 1108 1116 1294 1662 1674 1941 2216 2232 2493 2588 3324 3348 3882 4986 5176 5823 6648 6696 7479 7764 8587 9972 11646 14958 15528 17174 17469 19944 20057 23292 25761 29916 34348 34938 40114 46584 51522 59832 60171 68696 69876 77283 80228 103044 120342 139752 154566 160456 179219 180513 206088 231849 240684 309132 358438 361026 463698 481368 537657 541539 618264 716876 722052 927396 1075314 1083078 1433752 1444104 1612971 1854792 2150628 2166156 3225942 4301256 4332312 4838913 5555789 6451884 9677826 11111578 12903768 16667367 19355652 22223156 33334734 38711304 44446312 50002101 66669468 100004202 133338936 150006303 200008404 300012606 400016808 600025212 1200050424