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2015440240 = 2451113117483
BaseRepresentation
bin111100000100001…
…0010110101110000
312012110101222020211
41320020102311300
513111423041430
6531553513504
7100641650032
oct17010226560
95173358224
102015440240
119447330a0
12482b72894
132617221b8
14151957c52
15bbe1272a
hex78212d70

2015440240 has 80 divisors (see below), whose sum is σ = 5151206016. Its totient is φ = 727251200.

The previous prime is 2015440237. The next prime is 2015440277. The reversal of 2015440240 is 420445102.

It is a happy number.

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

It is a super-2 number, since 2×20154402402 = 8123998722022515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106539 + ... + 124021.

Almost surely, 22015440240 is an apocalyptic number.

2015440240 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 2015440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575603008).

2015440240 is an abundant number, since it is smaller than the sum of its proper divisors (3135765776).

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

2015440240 is a wasteful number, since it uses less digits than its factorization.

2015440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17638 (or 17632 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 2015440240 is about 44893.6547855039. The cubic root of 2015440240 is about 1263.1549892160.

Adding to 2015440240 its reverse (420445102), we get a palindrome (2435885342).

The spelling of 2015440240 in words is "two billion, fifteen million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 131 176 220 262 440 524 655 880 1048 1310 1441 2096 2620 2882 5240 5764 7205 10480 11528 14410 17483 23056 28820 34966 57640 69932 87415 115280 139864 174830 192313 279728 349660 384626 699320 769252 961565 1398640 1538504 1923130 2290273 3077008 3846260 4580546 7692520 9161092 11451365 15385040 18322184 22902730 25193003 36644368 45805460 50386006 91610920 100772012 125965015 183221840 201544024 251930030 403088048 503860060 1007720120 2015440240