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2105241152 = 267231731181
BaseRepresentation
bin111110101111011…
…0110111001000000
312102201101022221112
41331132312321000
513302420204102
6544522342452
7103112153210
oct17536667100
95381338845
102105241152
11990398923
124a905aa28
13277204631
1415d852240
15c4c50252
hex7d7b6e40

2105241152 has 112 divisors (see below), whose sum is σ = 5015008512. Its totient is φ = 857303040.

The previous prime is 2105241119. The next prime is 2105241161. The reversal of 2105241152 is 2511425012.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1782002 + ... + 1783182.

Almost surely, 22105241152 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 2105241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507504256).

2105241152 is an abundant number, since it is smaller than the sum of its proper divisors (2909767360).

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

2105241152 is a wasteful number, since it uses less digits than its factorization.

2105241152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 2105241152 is about 45882.9069698074. The cubic root of 2105241152 is about 1281.6436307201.

Adding to 2105241152 its reverse (2511425012), we get a palindrome (4616666164).

The spelling of 2105241152 in words is "two billion, one hundred five million, two hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 173 184 224 322 346 368 448 644 692 736 1181 1211 1288 1384 1472 2362 2422 2576 2768 3979 4724 4844 5152 5536 7958 8267 9448 9688 10304 11072 15916 16534 18896 19376 27163 27853 31832 33068 37792 38752 54326 55706 63664 66136 75584 77504 108652 111412 127328 132272 190141 204313 217304 222824 254656 264544 380282 408626 434608 445648 529088 760564 817252 869216 891296 1430191 1521128 1634504 1738432 1782592 2860382 3042256 3269008 4699199 5720764 6084512 6538016 9398398 11441528 12169024 13076032 18796796 22883056 32894393 37593592 45766112 65788786 75187184 91532224 131577572 150374368 263155144 300748736 526310288 1052620576 2105241152