Search a number
-
+
2160252016 = 2413175311527
BaseRepresentation
bin1000000011000010…
…1101010001110000
312120112220011122221
42000300231101300
513411011031031
6554205410424
7104350560556
oct20060552160
95515804587
102160252016
11a0945134a
12503569a14
13285725740
14166c91bd6
15c99b9a11
hex80c2d470

2160252016 has 80 divisors (see below), whose sum is σ = 4863063744. Its totient is φ = 920604672.

The previous prime is 2160252011. The next prime is 2160252049. The reversal of 2160252016 is 6102520612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2160252011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181645 + ... + 193171.

Almost surely, 22160252016 is an apocalyptic number.

2160252016 is a gapful number since it is divisible by the number (26) 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 2160252016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431531872).

2160252016 is an abundant number, since it is smaller than the sum of its proper divisors (2702811728).

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

2160252016 is a wasteful number, since it uses less digits than its factorization.

2160252016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11618 (or 11612 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2160252016 is about 46478.5113358851. The cubic root of 2160252016 is about 1292.7110853986.

Adding to 2160252016 its reverse (6102520612), we get a palindrome (8262772628).

The spelling of 2160252016 in words is "two billion, one hundred sixty million, two hundred fifty-two thousand, sixteen".

Divisors: 1 2 4 8 13 16 17 26 34 52 53 68 104 106 136 208 212 221 272 424 442 689 848 884 901 1378 1768 1802 2756 3536 3604 5512 7208 11024 11527 11713 14416 23054 23426 46108 46852 92216 93704 149851 184432 187408 195959 299702 391918 599404 610931 783836 1198808 1221862 1567672 2397616 2443724 2547467 3135344 4887448 5094934 7942103 9774896 10189868 10385827 15884206 20379736 20771654 31768412 40759472 41543308 63536824 83086616 127073648 135015751 166173232 270031502 540063004 1080126008 2160252016