Search a number
-
+
2010240045 = 3351141137241
BaseRepresentation
bin111011111010001…
…1101010000101101
312012002121202221000
41313310131100231
513104110140140
6531250230513
7100546521102
oct16764352055
95162552830
102010240045
11941801110
12481285439
13260621268
14150da2aa9
15bb736a30
hex77d1d42d

2010240045 has 128 divisors (see below), whose sum is σ = 4039580160. Its totient is φ = 940032000.

The previous prime is 2010240017. The next prime is 2010240049. The reversal of 2010240045 is 5400420102.

It is not a de Polignac number, because 2010240045 - 29 = 2010239533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010240049) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8341125 + ... + 8341365.

It is an arithmetic number, because the mean of its divisors is an integer number (31559220).

Almost surely, 22010240045 is an apocalyptic number.

It is an amenable number.

2010240045 is an abundant number, since it is smaller than the sum of its proper divisors (2029340115).

2010240045 is a wasteful number, since it uses less digits than its factorization.

2010240045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 438 counting only the distinct ones).

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

The square root of 2010240045 is about 44835.7005632788. The cubic root of 2010240045 is about 1262.0676651876.

Adding to 2010240045 its reverse (5400420102), we get a palindrome (7410660147).

The spelling of 2010240045 in words is "two billion, ten million, two hundred forty thousand, forty-five".

Divisors: 1 3 5 9 11 15 27 33 41 45 55 99 123 135 137 165 205 241 297 369 411 451 495 615 685 723 1107 1205 1233 1353 1485 1507 1845 2055 2169 2255 2651 3615 3699 4059 4521 5535 5617 6165 6507 6765 7535 7953 9881 10845 12177 13255 13563 16851 18495 20295 22605 23859 28085 29643 32535 33017 39765 40689 49405 50553 60885 61787 67815 71577 84255 88929 99051 108691 119295 148215 151659 165085 185361 203445 252765 266787 297153 308935 326073 357885 363187 444645 495255 543455 556083 758295 891459 926805 978219 1089561 1333935 1353697 1485765 1630365 1668249 1815935 2780415 2934657 3268683 4061091 4457295 4891095 5447805 6768485 8341245 9806049 12183273 14673285 14890667 16343415 20305455 36549819 44672001 49030245 60916365 74453335 134016003 182749095 223360005 402048009 670080015 2010240045