Search a number
-
+
158193 = 36731
BaseRepresentation
bin100110100111110001
322001000000
4212213301
520030233
63220213
71226130
oct464761
9261000
10158193
11a8942
1277669
1357009
1441917
1531d13
hex269f1

158193 has 28 divisors (see below), whose sum is σ = 279808. Its totient is φ = 87480.

The previous prime is 158189. The next prime is 158201. The reversal of 158193 is 391851.

158193 is nontrivially palindromic in base 15.

It is not a de Polignac number, because 158193 - 22 = 158189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 158193.

It is not an unprimeable number, because it can be changed into a prime (158113) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5088 + ... + 5118.

158193 is a Friedman number, since it can be written as 1953*81, using all its digits and the basic arithmetic operations.

2158193 is an apocalyptic number.

It is an amenable number.

158193 is a deficient number, since it is larger than the sum of its proper divisors (121615).

158193 is an frugal number, since it uses more digits than its factorization.

158193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 41 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 158193 is about 397.7348362917. The cubic root of 158193 is about 54.0832050623.

It can be divided in two parts, 158 and 193, that added together give a triangular number (351 = T26).

The spelling of 158193 in words is "one hundred fifty-eight thousand, one hundred ninety-three".

Divisors: 1 3 7 9 21 27 31 63 81 93 189 217 243 279 567 651 729 837 1701 1953 2511 5103 5859 7533 17577 22599 52731 158193