[go: up one dir, main page]

Search a number
-
+
2015162340 = 2235127373709
BaseRepresentation
bin111100000011100…
…1110111111100100
312012102212212001020
41320013032333210
513111340143330
6531543531140
7100636411602
oct17007167744
95172785036
102015162340
11944563324
12482a59ab0
13261655869
141518c4872
15bbdaa210
hex781cefe4

2015162340 has 96 divisors (see below), whose sum is σ = 5710172160. Its totient is φ = 530966016.

The previous prime is 2015162327. The next prime is 2015162377. The reversal of 2015162340 is 432615102.

It is a self number, because there is not a number n which added to its sum of digits gives 2015162340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2841906 + ... + 2842614.

It is an arithmetic number, because the mean of its divisors is an integer number (59480960).

Almost surely, 22015162340 is an apocalyptic number.

2015162340 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 2015162340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855086080).

2015162340 is an abundant number, since it is smaller than the sum of its proper divisors (3695009820).

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

2015162340 is a wasteful number, since it uses less digits than its factorization.

2015162340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2015162340 is about 44890.5595866213. The cubic root of 2015162340 is about 1263.0969296252.

Adding to 2015162340 its reverse (432615102), we get a palindrome (2447777442).

The spelling of 2015162340 in words is "two billion, fifteen million, one hundred sixty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 373 381 508 635 709 746 762 1119 1270 1418 1492 1524 1865 1905 2127 2238 2540 2836 3545 3730 3810 4254 4476 5595 7090 7460 7620 8508 10635 11190 14180 21270 22380 42540 47371 90043 94742 142113 180086 189484 236855 264457 270129 284226 360172 450215 473710 528914 540258 568452 710565 793371 900430 947420 1057828 1080516 1322285 1350645 1421130 1586742 1800860 2644570 2701290 2842260 3173484 3966855 5289140 5402580 7933710 15867420 33586039 67172078 100758117 134344156 167930195 201516234 335860390 403032468 503790585 671720780 1007581170 2015162340