Search a number
-
+
2160005016 = 2331345715149
BaseRepresentation
bin1000000010111111…
…0000111110011000
312120112102121211210
42000233300332120
513410430130031
6554200223120
7104345511501
oct20057607630
95515377753
102160005016
11a092a2814
1250346aaa0
1328566a1a0
14166c29ba8
15c996b746
hex80bf0f98

2160005016 has 64 divisors (see below), whose sum is σ = 5828508000. Its totient is φ = 663118848.

The previous prime is 2160004997. The next prime is 2160005017. The reversal of 2160005016 is 6105000612.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2160004983 and 2160005001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2160005017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135010 + ... + 150158.

Almost surely, 22160005016 is an apocalyptic number.

2160005016 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 2160005016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914254000).

2160005016 is an abundant number, since it is smaller than the sum of its proper divisors (3668502984).

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

2160005016 is a wasteful number, since it uses less digits than its factorization.

2160005016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15628 (or 15624 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2160005016 is about 46475.8541180256. The cubic root of 2160005016 is about 1292.6618146336.

Adding to 2160005016 its reverse (6105000612), we get a palindrome (8265005628).

The spelling of 2160005016 in words is "two billion, one hundred sixty million, five thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 457 914 1371 1828 2742 3656 5484 5941 10968 11882 15149 17823 23764 30298 35646 45447 47528 60596 71292 90894 121192 142584 181788 196937 363576 393874 590811 787748 1181622 1575496 2363244 4726488 6923093 13846186 20769279 27692372 41538558 55384744 83077116 90000209 166154232 180000418 270000627 360000836 540001254 720001672 1080002508 2160005016