Search a number
-
+
159040 = 265771
BaseRepresentation
bin100110110101000000
322002011101
4212311000
520042130
63224144
71231450
oct466500
9262141
10159040
11a9542
1278054
135750b
1441d60
15321ca
hex26d40

159040 has 56 divisors (see below), whose sum is σ = 438912. Its totient is φ = 53760.

The previous prime is 159023. The next prime is 159059. The reversal of 159040 is 40951.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 158999 and 159017.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2205 + ... + 2275.

2159040 is an apocalyptic number.

159040 is a gapful number since it is divisible by the number (10) 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 159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219456).

159040 is an abundant number, since it is smaller than the sum of its proper divisors (279872).

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

159040 is an equidigital number, since it uses as much as digits as its factorization.

159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 159040 is about 398.7981945797. The cubic root of 159040 is about 54.1795577471.

Adding to 159040 its reverse (40951), we get a palindrome (199991).

The spelling of 159040 in words is "one hundred fifty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 71 80 112 140 142 160 224 280 284 320 355 448 497 560 568 710 994 1120 1136 1420 1988 2240 2272 2485 2840 3976 4544 4970 5680 7952 9940 11360 15904 19880 22720 31808 39760 79520 159040