Search a number
-
+
2053865730 = 235723616971
BaseRepresentation
bin111101001101011…
…1000000100000010
312022010201012010010
41322122320010002
513201242200410
6535445245350
7101616366510
oct17232700402
95263635103
102053865730
119643987a4
12493a03856
13269687187
14156abb4b0
15c04a2c20
hex7a6b8102

2053865730 has 128 divisors (see below), whose sum is σ = 5975617536. Its totient is φ = 441619200.

The previous prime is 2053865719. The next prime is 2053865747. The reversal of 2053865730 is 375683502.

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 291145 + ... + 298115.

It is an arithmetic number, because the mean of its divisors is an integer number (46684512).

Almost surely, 22053865730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053865730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987808768).

2053865730 is an abundant number, since it is smaller than the sum of its proper divisors (3921751806).

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

2053865730 is a wasteful number, since it uses less digits than its factorization.

2053865730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072.

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 2053865730 is about 45319.5954306744. The cubic root of 2053865730 is about 1271.1320903433.

It can be divided in two parts, 20538 and 65730, that added together give a palindrome (86268).

The spelling of 2053865730 in words is "two billion, fifty-three million, eight hundred sixty-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 61 69 70 105 115 122 138 161 183 210 230 305 322 345 366 427 483 610 690 805 854 915 966 1281 1403 1610 1830 2135 2415 2562 2806 4209 4270 4830 6405 6971 7015 8418 9821 12810 13942 14030 19642 20913 21045 29463 34855 41826 42090 48797 49105 58926 69710 97594 98210 104565 146391 147315 160333 209130 243985 292782 294630 320666 425231 480999 487970 731955 801665 850462 961998 1122331 1275693 1463910 1603330 2126155 2244662 2404995 2551386 2976617 3366993 4252310 4809990 5611655 5953234 6378465 6733986 8929851 9780313 11223310 12756930 14883085 16834965 17859702 19560626 29340939 29766170 33669930 44649255 48901565 58681878 68462191 89298510 97803130 136924382 146704695 205386573 293409390 342310955 410773146 684621910 1026932865 2053865730