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2015403104 = 251121340039
BaseRepresentation
bin111100000100000…
…1001110001100000
312012110100002022102
41320020021301200
513111420344404
6531553025532
7100641433541
oct17010116140
95173302272
102015403104
11944708200
12482b552a8
1326170b320
141519484c8
15bbe0671e
hex78209c60

2015403104 has 72 divisors (see below), whose sum is σ = 4696932240. Its totient is φ = 845602560.

The previous prime is 2015403097. The next prime is 2015403113. The reversal of 2015403104 is 4013045102.

It is a super-2 number, since 2×20154031042 = 8123699343225669632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 30317 + ... + 70355.

It is an arithmetic number, because the mean of its divisors is an integer number (65235170).

Almost surely, 22015403104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2015403104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348466120).

2015403104 is an abundant number, since it is smaller than the sum of its proper divisors (2681529136).

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

2015403104 is a wasteful number, since it uses less digits than its factorization.

2015403104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40084 (or 40065 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2015403104 is about 44893.2411839466. The cubic root of 2015403104 is about 1263.1472309753.

Adding to 2015403104 its reverse (4013045102), we get a palindrome (6028448206).

The spelling of 2015403104 in words is "two billion, fifteen million, four hundred three thousand, one hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 121 143 176 208 242 286 352 416 484 572 968 1144 1573 1936 2288 3146 3872 4576 6292 12584 25168 40039 50336 80078 160156 320312 440429 520507 640624 880858 1041014 1281248 1761716 2082028 3523432 4164056 4844719 5725577 7046864 8328112 9689438 11451154 14093728 16656224 19378876 22902308 38757752 45804616 62981347 77515504 91609232 125962694 155031008 183218464 251925388 503850776 1007701552 2015403104