Search a number
-
+
159960768 = 26311233789
BaseRepresentation
bin10011000100011…
…00111011000000
3102010222211220220
421202030323000
5311422221033
623512303040
73651433632
oct1142147300
9363884826
10159960768
1182325990
12456a1a80
13271a8956
141735ca52
15e09abb3
hex988cec0

159960768 has 224 divisors, whose sum is σ = 500359680. Its totient is φ = 44605440.

The previous prime is 159960767. The next prime is 159960797. The reversal of 159960768 is 867069951.

It is a self number, because there is not a number n which added to its sum of digits gives 159960768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159960761) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1797268 + ... + 1797356.

Almost surely, 2159960768 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 159960768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250179840).

159960768 is an abundant number, since it is smaller than the sum of its proper divisors (340398912).

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

159960768 is a wasteful number, since it uses less digits than its factorization.

159960768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 159960768 is about 12647.5597646344. The cubic root of 159960768 is about 542.8391480119.

The spelling of 159960768 in words is "one hundred fifty-nine million, nine hundred sixty thousand, seven hundred sixty-eight".