Search a number
-
+
2130562926 = 23433139733
BaseRepresentation
bin111111011111101…
…1100111101101110
312111111000210220000
41332333130331232
513330411003201
6551225205130
7103540325502
oct17677347556
95444023800
102130562926
119a3713508
124b56307a6
1327c52c12b
14162d64302
15c70a2d86
hex7efdcf6e

2130562926 has 40 divisors (see below), whose sum is σ = 4788582744. Its totient is φ = 708024240.

The previous prime is 2130562913. The next prime is 2130562943. The reversal of 2130562926 is 6292650312.

2130562926 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 5 + 629 + 26 = 666.

It is a super-4 number, since 4×21305629264 (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33756 + ... + 73488.

Almost surely, 22130562926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130562926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394291372).

2130562926 is an abundant number, since it is smaller than the sum of its proper divisors (2658019818).

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

2130562926 is a wasteful number, since it uses less digits than its factorization.

2130562926 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40078 (or 40069 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2130562926 is about 46158.0212530823. The cubic root of 2130562926 is about 1286.7616883150.

The spelling of 2130562926 in words is "two billion, one hundred thirty million, five hundred sixty-two thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 331 662 993 1986 2979 5958 8937 17874 26811 39733 53622 79466 119199 238398 357597 715194 1072791 2145582 3218373 6436746 13151623 26303246 39454869 78909738 118364607 236729214 355093821 710187642 1065281463 2130562926