Search a number
-
+
169586142 = 231129251353
BaseRepresentation
bin10100001101110…
…10110111011110
3102211002212110020
422012322313132
5321403224032
624454453010
74126313145
oct1206726736
9384085406
10169586142
11877aa640
1248964166
1329198b3b
141874675c
15ed4cb2c
hexa1badde

169586142 has 64 divisors (see below), whose sum is σ = 385378560. Its totient is φ = 49280000.

The previous prime is 169586141. The next prime is 169586149. The reversal of 169586142 is 241685961.

169586142 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 169586094 and 169586103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (169586141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480238 + ... + 480590.

It is an arithmetic number, because the mean of its divisors is an integer number (6021540).

Almost surely, 2169586142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 169586142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192689280).

169586142 is an abundant number, since it is smaller than the sum of its proper divisors (215792418).

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

169586142 is a wasteful number, since it uses less digits than its factorization.

169586142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649.

The product of its digits is 103680, while the sum is 42.

The square root of 169586142 is about 13022.5244096527. The cubic root of 169586142 is about 553.5159247252.

The spelling of 169586142 in words is "one hundred sixty-nine million, five hundred eighty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 251 319 353 502 638 706 753 957 1059 1506 1914 2118 2761 3883 5522 7279 7766 8283 10237 11649 14558 16566 20474 21837 23298 30711 43674 61422 80069 88603 112607 160138 177206 225214 240207 265809 337821 480414 531618 675642 974633 1949266 2569487 2923899 5138974 5847798 7708461 15416922 28264357 56528714 84793071 169586142