Base | Representation |
---|---|
bin | 111100111000… |
… | …100000100000 |
3 | 1010000212010200 |
4 | 330320200200 |
5 | 13041210341 |
6 | 1330025200 |
7 | 252441615 |
oct | 74704040 |
9 | 33025120 |
10 | 15960096 |
11 | 9011069 |
12 | 5418200 |
13 | 33ca659 |
14 | 219650c |
15 | 1603db6 |
hex | f38820 |
15960096 has 72 divisors (see below), whose sum is σ = 45811584. Its totient is φ = 5270400.
The previous prime is 15960083. The next prime is 15960097. The reversal of 15960096 is 69006951.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 15960096.
It is not an unprimeable number, because it can be changed into a prime (15960097) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43305 + ... + 43671.
It is an arithmetic number, because the mean of its divisors is an integer number (636272).
Almost surely, 215960096 is an apocalyptic number.
15960096 is a gapful number since it is divisible by the number (16) 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 15960096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22905792).
15960096 is an abundant number, since it is smaller than the sum of its proper divisors (29851488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
15960096 is a wasteful number, since it uses less digits than its factorization.
15960096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 534 (or 523 counting only the distinct ones).
The product of its (nonzero) digits is 14580, while the sum is 36.
The square root of 15960096 is about 3995.0088860978. The cubic root of 15960096 is about 251.7745527140.
The spelling of 15960096 in words is "fifteen million, nine hundred sixty thousand, ninety-six".
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