Search a number
-
+
923142 = 231171197
BaseRepresentation
bin11100001011000000110
31201220022110
43201120012
5214020032
631441450
710563243
oct3413006
91656273
10923142
11580630
12386286
1326424c
141a05ca
151337cc
hexe1606

923142 has 32 divisors (see below), whose sum is σ = 2052864. Its totient is φ = 274400.

The previous prime is 923141. The next prime is 923147. The reversal of 923142 is 241329.

It is a super-3 number, since 3×9231423 = 2360080333772937864, which contains 333 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (923141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4588 + ... + 4784.

It is an arithmetic number, because the mean of its divisors is an integer number (64152).

2923142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 923142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026432).

923142 is an abundant number, since it is smaller than the sum of its proper divisors (1129722).

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

923142 is a wasteful number, since it uses less digits than its factorization.

923142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284.

The product of its digits is 432, while the sum is 21.

The square root of 923142 is about 960.8027893382. The cubic root of 923142 is about 97.3694768919.

The spelling of 923142 in words is "nine hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 71 142 197 213 394 426 591 781 1182 1562 2167 2343 4334 4686 6501 13002 13987 27974 41961 83922 153857 307714 461571 923142