Search a number
-
+
159390 = 232571123
BaseRepresentation
bin100110111010011110
322002122100
4212322132
520100030
63225530
71232460
oct467236
9262570
10159390
11a9830
12782a6
135771a
1442130
1532360
hex26e9e

159390 has 96 divisors (see below), whose sum is σ = 539136. Its totient is φ = 31680.

The previous prime is 159389. The next prime is 159403. The reversal of 159390 is 93951.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a nialpdrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 159390.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6919 + ... + 6941.

It is an arithmetic number, because the mean of its divisors is an integer number (5616).

2159390 is an apocalyptic number.

159390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 159390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269568).

159390 is an abundant number, since it is smaller than the sum of its proper divisors (379746).

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

159390 is a wasteful number, since it uses less digits than its factorization.

159390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 159390 is about 399.2367718535. The cubic root of 159390 is about 54.2192730213.

The spelling of 159390 in words is "one hundred fifty-nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 23 30 33 35 42 45 46 55 63 66 69 70 77 90 99 105 110 115 126 138 154 161 165 198 207 210 230 231 253 315 322 330 345 385 414 462 483 495 506 630 690 693 759 770 805 966 990 1035 1155 1265 1386 1449 1518 1610 1771 2070 2277 2310 2415 2530 2898 3465 3542 3795 4554 4830 5313 6930 7245 7590 8855 10626 11385 14490 15939 17710 22770 26565 31878 53130 79695 159390