Search a number
-
+
1839020216 = 2311431972467
BaseRepresentation
bin110110110011101…
…0011100010111000
311202011102220110212
41231213103202320
512231242121331
6502252330252
763400261655
oct15547234270
94664386425
101839020216
11864096120
12433a73988
13234002957
14136352c2c
15ab6b4d2b
hex6d9d38b8

1839020216 has 64 divisors (see below), whose sum is σ = 3870218880. Its totient is φ = 812004480.

The previous prime is 1839020207. The next prime is 1839020219. The reversal of 1839020216 is 6120209381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1839020219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744215 + ... + 746681.

It is an arithmetic number, because the mean of its divisors is an integer number (60472170).

Almost surely, 21839020216 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 1839020216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935109440).

1839020216 is an abundant number, since it is smaller than the sum of its proper divisors (2031198664).

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

1839020216 is a wasteful number, since it uses less digits than its factorization.

1839020216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 1839020216 is about 42883.7989921602. The cubic root of 1839020216 is about 1225.1675941186.

Adding to 1839020216 its reverse (6120209381), we get a palindrome (7959229597).

The spelling of 1839020216 in words is "one billion, eight hundred thirty-nine million, twenty thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 197 344 394 473 788 946 1576 1892 2167 2467 3784 4334 4934 8471 8668 9868 16942 17336 19736 27137 33884 54274 67768 93181 106081 108548 186362 212162 217096 372724 424324 485999 745448 848648 971998 1166891 1943996 2333782 3887992 4667564 5345989 9335128 10691978 20897957 21383956 41795914 42767912 83591828 167183656 229877527 459755054 919510108 1839020216