Search a number
-
+
2130653646 = 235111133527
BaseRepresentation
bin111111011111111…
…0011000111001110
312111111012102100000
41332333303013032
513330421404041
6551231145130
7103541154132
oct17677630716
95444172300
102130653646
119a3775690
124b56751a6
1327c561504
14162d893c2
15c70bebb6
hex7eff31ce

2130653646 has 96 divisors (see below), whose sum is σ = 5270323968. Its totient is φ = 639757440.

The previous prime is 2130653633. The next prime is 2130653663. The reversal of 2130653646 is 6463560312.

2130653646 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 6 + 5 + 3 + 646 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2130653646.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602335 + ... + 605861.

It is an arithmetic number, because the mean of its divisors is an integer number (54899208).

Almost surely, 22130653646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130653646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635161984).

2130653646 is an abundant number, since it is smaller than the sum of its proper divisors (3139670322).

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

2130653646 is a wasteful number, since it uses less digits than its factorization.

2130653646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 3656 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2130653646 is about 46159.0039537250. The cubic root of 2130653646 is about 1286.7799516203.

The spelling of 2130653646 in words is "two billion, one hundred thirty million, six hundred fifty-three thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 113 162 198 226 243 297 339 486 594 678 891 1017 1243 1782 2034 2486 2673 3051 3527 3729 5346 6102 7054 7458 9153 10581 11187 18306 21162 22374 27459 31743 33561 38797 54918 63486 67122 77594 95229 100683 116391 190458 201366 232782 285687 302049 349173 398551 571374 604098 698346 797102 857061 1047519 1195653 1714122 2095038 2391306 3142557 3586959 4384061 6285114 7173918 8768122 9427671 10760877 13152183 18855342 21521754 26304366 32282631 39456549 64565262 78913098 96847893 118369647 193695786 236739294 355108941 710217882 1065326823 2130653646