Base | Representation |
---|---|
bin | 10011000100000… |
… | …00100000000000 |
3 | 102010220021010110 |
4 | 21202000200000 |
5 | 311414104023 |
6 | 23511231320 |
7 | 3651132405 |
oct | 1142004000 |
9 | 363807113 |
10 | 159909888 |
11 | 822a0736 |
12 | 45678540 |
13 | 2718b748 |
14 | 173482ac |
15 | e08aa93 |
hex | 9880800 |
159909888 has 96 divisors (see below), whose sum is σ = 451694880. Its totient is φ = 50135040.
The previous prime is 159909887. The next prime is 159909899. The reversal of 159909888 is 888909951.
It is a tau number, because it is divible by the number of its divisors (96).
It is not an unprimeable number, because it can be changed into a prime (159909887) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103683 + ... + 105213.
It is an arithmetic number, because the mean of its divisors is an integer number (4705155).
Almost surely, 2159909888 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 159909888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225847440).
159909888 is an abundant number, since it is smaller than the sum of its proper divisors (291784992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
159909888 is a wasteful number, since it uses less digits than its factorization.
159909888 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1573 (or 1553 counting only the distinct ones).
The product of its (nonzero) digits is 1866240, while the sum is 57.
The square root of 159909888 is about 12645.5481494477. The cubic root of 159909888 is about 542.7815868463.
It can be divided in two parts, 15990 and 9888, that added together give a triangular number (25878 = T227).
The spelling of 159909888 in words is "one hundred fifty-nine million, nine hundred nine thousand, eight hundred eighty-eight".
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