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2105042352 = 243723128871
BaseRepresentation
bin111110101111000…
…0110010110110000
312102201000020020120
41331132012112300
513302342323402
6544514210240
7103110364500
oct17536062660
95381006216
102105042352
11990272526
124a8b83980
13277164cba
1415d7dda00
15c4c113bc
hex7d7865b0

2105042352 has 120 divisors (see below), whose sum is σ = 6530153472. Its totient is φ = 582019200.

The previous prime is 2105042347. The next prime is 2105042353. The reversal of 2105042352 is 2532405012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2105042353) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 58477 + ... + 87347.

Almost surely, 22105042352 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 2105042352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265076736).

2105042352 is an abundant number, since it is smaller than the sum of its proper divisors (4425111120).

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

2105042352 is a wasteful number, since it uses less digits than its factorization.

2105042352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28927 (or 28914 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2105042352 is about 45880.7405345642. The cubic root of 2105042352 is about 1281.6032871591.

Adding to 2105042352 its reverse (2532405012), we get a palindrome (4637447364).

The spelling of 2105042352 in words is "two billion, one hundred five million, forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 372 392 434 496 588 651 744 784 868 1176 1302 1488 1519 1736 2352 2604 3038 3472 4557 5208 6076 9114 10416 12152 18228 24304 28871 36456 57742 72912 86613 115484 173226 202097 230968 346452 404194 461936 606291 692904 808388 895001 1212582 1385808 1414679 1616776 1790002 2425164 2685003 2829358 3233552 3580004 4244037 4850328 5370006 5658716 6265007 7160008 8488074 9700656 10740012 11317432 12530014 14320016 16976148 18795021 21480024 22634864 25060028 33952296 37590042 42960048 43855049 50120056 67904592 75180084 87710098 100240112 131565147 150360168 175420196 263130294 300720336 350840392 526260588 701680784 1052521176 2105042352