Search a number
-
+
640686046 = 271121347619
BaseRepresentation
bin100110001100000…
…001011111011110
31122122120020000211
4212030001133132
52303003423141
6143324043034
721606512230
oct4614013736
91578506024
10640686046
112a9717a00
1215a69347a
13a2972790
1461138250
153b3a7d81
hex263017de

640686046 has 96 divisors (see below), whose sum is σ = 1329914880. Its totient is φ = 225149760.

The previous prime is 640686041. The next prime is 640686077.

640686046 is nontrivially palindromic in base 10.

640686046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6406860462 = 820957219078228232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640686041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034725 + ... + 1035343.

It is an arithmetic number, because the mean of its divisors is an integer number (13853280).

Almost surely, 2640686046 is an apocalyptic number.

640686046 is an abundant number, since it is smaller than the sum of its proper divisors (689228834).

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

640686046 is a wasteful number, since it uses less digits than its factorization.

640686046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 640686046 is about 25311.7768242374. The cubic root of 640686046 is about 862.0816913228.

It can be divided in two parts, 640 and 686046, that added together give a palindrome (686686).

The spelling of 640686046 in words is "six hundred forty million, six hundred eighty-six thousand, forty-six".

Divisors: 1 2 7 11 13 14 22 26 47 77 91 94 121 143 154 182 242 286 329 517 611 619 658 847 1001 1034 1222 1238 1573 1694 2002 3146 3619 4277 4333 5687 6721 6809 7238 8047 8554 8666 11011 11374 13442 13618 16094 22022 29093 39809 47047 47663 56329 58186 73931 74899 79618 88517 94094 95326 112658 147862 149798 177034 203651 320023 378209 407302 517517 524293 619619 640046 756418 973687 1035034 1048586 1239238 1947374 2240161 2647463 3520253 4160299 4480322 5294926 6815809 7040506 8320598 13631618 24641771 29122093 45763289 49283542 58244186 91526578 320343023 640686046