Search a number
-
+
2105160354 = 234111769491
BaseRepresentation
bin111110101111010…
…0011001010100010
312102201020020010000
41331132203022202
513302410112404
6544520520430
7103111365513
oct17536431242
95381206100
102105160354
11990343150
124a9020116
132771a691b
1415d830a0a
15c4c36339
hex7d7a32a2

2105160354 has 80 divisors (see below), whose sum is σ = 5448728736. Its totient is φ = 600393600.

The previous prime is 2105160341. The next prime is 2105160377. The reversal of 2105160354 is 4530615012.

2105160354 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 1 + 603 + 54 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4452 + ... + 65039.

Almost surely, 22105160354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105160354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724364368).

2105160354 is an abundant number, since it is smaller than the sum of its proper divisors (3343568382).

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

2105160354 is a wasteful number, since it uses less digits than its factorization.

2105160354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69533 (or 69524 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2105160354 is about 45882.0264809653. The cubic root of 2105160354 is about 1281.6272342506.

Adding to 2105160354 its reverse (4530615012), we get a palindrome (6635775366).

The spelling of 2105160354 in words is "two billion, one hundred five million, one hundred sixty thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 153 162 187 198 297 306 374 459 561 594 891 918 1122 1377 1683 1782 2754 3366 5049 10098 15147 30294 69491 138982 208473 416946 625419 764401 1181347 1250838 1528802 1876257 2293203 2362694 3544041 3752514 4586406 5628771 6879609 7088082 10632123 11257542 12994817 13759218 20638827 21264246 25989634 31896369 38984451 41277654 61916481 63792738 77968902 95689107 116953353 123832962 191378214 233906706 350860059 701720118 1052580177 2105160354