Search a number
-
+
159360768 = 2832741241
BaseRepresentation
bin10010111111110…
…10011100000000
3102002212100212200
421133322130000
5311244021033
623451353200
73643354440
oct1137723400
9362770780
10159360768
1181a56116
1245452800
1327028818
1417244120
15decd013
hex97fa700

159360768 has 216 divisors, whose sum is σ = 540155616. Its totient is φ = 44236800.

The previous prime is 159360701. The next prime is 159360787. The reversal of 159360768 is 867063951.

It is a happy number.

159360768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 661128 + ... + 661368.

Almost surely, 2159360768 is an apocalyptic number.

159360768 is a gapful number since it is divisible by the number (18) 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 159360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270077808).

159360768 is an abundant number, since it is smaller than the sum of its proper divisors (380794848).

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

159360768 is a wasteful number, since it uses less digits than its factorization.

159360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 159360768 is about 12623.8174891750. The cubic root of 159360768 is about 542.1595822808.

The spelling of 159360768 in words is "one hundred fifty-nine million, three hundred sixty thousand, seven hundred sixty-eight".