Search a number
-
+
2543102136 = 2333103151757
BaseRepresentation
bin1001011110010100…
…1010100010111000
320120020021222022000
42113211022202320
520202013232021
61100203301000
7120010003641
oct22745124270
96506258260
102543102136
111095573303
125ab81a760
13316b40c83
141a1a706c8
15ed3e1b26
hex9794a8b8

2543102136 has 128 divisors (see below), whose sum is σ = 7189478400. Its totient is φ = 832809600.

The previous prime is 2543102119. The next prime is 2543102137. The reversal of 2543102136 is 6312013452.

2543102136 is a `hidden beast` number, since 2 + 543 + 102 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543102137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3359070 + ... + 3359826.

It is an arithmetic number, because the mean of its divisors is an integer number (56167800).

Almost surely, 22543102136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2543102136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594739200).

2543102136 is an abundant number, since it is smaller than the sum of its proper divisors (4646376264).

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

2543102136 is a wasteful number, since it uses less digits than its factorization.

2543102136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2543102136 is about 50429.1794103374. The cubic root of 2543102136 is about 1364.9642207745.

Adding to 2543102136 its reverse (6312013452), we get a palindrome (8855115588).

The spelling of 2543102136 in words is "two billion, five hundred forty-three million, one hundred two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 103 108 151 206 216 302 309 412 453 604 618 757 824 906 927 1208 1236 1359 1514 1812 1854 2271 2472 2718 2781 3028 3624 3708 4077 4542 5436 5562 6056 6813 7416 8154 9084 10872 11124 13626 15553 16308 18168 20439 22248 27252 31106 32616 40878 46659 54504 62212 77971 81756 93318 114307 124424 139977 155942 163512 186636 228614 233913 279954 311884 342921 373272 419931 457228 467826 559908 623768 685842 701739 839862 914456 935652 1028763 1119816 1371684 1403478 1679724 1871304 2057526 2105217 2743368 2806956 3086289 3359448 4115052 4210434 5613912 6172578 8230104 8420868 11773621 12345156 16841736 23547242 24690312 35320863 47094484 70641726 94188968 105962589 141283452 211925178 282566904 317887767 423850356 635775534 847700712 1271551068 2543102136