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2105489360 = 245137327733
BaseRepresentation
bin111110101111111…
…0011011111010000
312102201211221102102
41331133303133100
513303001124420
6544531535532
7103114235642
oct17537633720
95381757372
102105489360
11990548357
124a915a5a8
132772905c0
1415d8b8892
15c4c9da75
hex7d7f37d0

2105489360 has 80 divisors (see below), whose sum is σ = 5344230864. Its totient is φ = 766734336.

The previous prime is 2105489333. The next prime is 2105489371. The reversal of 2105489360 is 639845012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 303317056 + 1802172304 = 17416^2 + 42452^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 62054 + ... + 89786.

Almost surely, 22105489360 is an apocalyptic number.

2105489360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105489360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672115432).

2105489360 is an abundant number, since it is smaller than the sum of its proper divisors (3238741504).

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

2105489360 is a wasteful number, since it uses less digits than its factorization.

2105489360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27832 (or 27826 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 2105489360 is about 45885.6116881970. The cubic root of 2105489360 is about 1281.6939973493.

The spelling of 2105489360 in words is "two billion, one hundred five million, four hundred eighty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 73 80 104 130 146 208 260 292 365 520 584 730 949 1040 1168 1460 1898 2920 3796 4745 5840 7592 9490 15184 18980 27733 37960 55466 75920 110932 138665 221864 277330 360529 443728 554660 721058 1109320 1442116 1802645 2024509 2218640 2884232 3605290 4049018 5768464 7210580 8098036 10122545 14421160 16196072 20245090 26318617 28842320 32392144 40490180 52637234 80980360 105274468 131593085 161960720 210548936 263186170 421097872 526372340 1052744680 2105489360