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2015920128 = 215320507
BaseRepresentation
bin111100000101000…
…1000000000000000
312012111022100112110
41320022020000000
513112033421003
6532012055320
7100646016105
oct17012100000
95174270473
102015920128
11944a306a2
12483164540
1326185c761
14151a40aac
15bbea9a03
hex78288000

2015920128 has 64 divisors (see below), whose sum is σ = 5375967120. Its totient is φ = 671940608.

The previous prime is 2015920091. The next prime is 2015920139. The reversal of 2015920128 is 8210295102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2015920095 and 2015920104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88051 + ... + 108557.

Almost surely, 22015920128 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 2015920128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687983560).

2015920128 is an abundant number, since it is smaller than the sum of its proper divisors (3360046992).

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

2015920128 is an frugal number, since it uses more digits than its factorization.

2015920128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20540 (or 20512 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 2015920128 is about 44898.9991870643. Note that the first 3 decimals coincide. The cubic root of 2015920128 is about 1263.2552361008.

The spelling of 2015920128 in words is "two billion, fifteen million, nine hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 20507 24576 32768 41014 49152 61521 82028 98304 123042 164056 246084 328112 492168 656224 984336 1312448 1968672 2624896 3937344 5249792 7874688 10499584 15749376 20999168 31498752 41998336 62997504 83996672 125995008 167993344 251990016 335986688 503980032 671973376 1007960064 2015920128