Search a number
-
+
2012330240 = 28512712379
BaseRepresentation
bin111011111110001…
…1011100100000000
312012020112222010122
41313330123210000
513110124031430
6531403115412
7100603345004
oct16774334400
95166488118
102012330240
119429a9548
12481b12b68
13260ba376b
14151388704
15bb9eaee5
hex77f1b900

2012330240 has 72 divisors (see below), whose sum is σ = 4858506240. Its totient is φ = 798529536.

The previous prime is 2012330231. The next prime is 2012330279. The reversal of 2012330240 is 420332102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156371 + ... + 168749.

Almost surely, 22012330240 is an apocalyptic number.

2012330240 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 2012330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429253120).

2012330240 is an abundant number, since it is smaller than the sum of its proper divisors (2846176000).

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

2012330240 is a wasteful number, since it uses less digits than its factorization.

2012330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12527 (or 12513 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2012330240 is about 44859.0040014265. The cubic root of 2012330240 is about 1262.5049353138.

Adding to 2012330240 its reverse (420332102), we get a palindrome (2432662342).

The spelling of 2012330240 in words is "two billion, twelve million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 508 635 640 1016 1270 1280 2032 2540 4064 5080 8128 10160 12379 16256 20320 24758 32512 40640 49516 61895 81280 99032 123790 162560 198064 247580 396128 495160 792256 990320 1572133 1584512 1980640 3144266 3169024 3961280 6288532 7860665 7922560 12577064 15721330 15845120 25154128 31442660 50308256 62885320 100616512 125770640 201233024 251541280 402466048 503082560 1006165120 2012330240