Search a number
-
+
923742 = 232193773
BaseRepresentation
bin11100001100001011110
31201221010200
43201201132
5214024432
631444330
710565061
oct3414136
91657120
10923742
11581026
123866a6
132645c1
141a08d8
15133a7c
hexe185e

923742 has 48 divisors (see below), whose sum is σ = 2193360. Its totient is φ = 279936.

The previous prime is 923719. The next prime is 923743. The reversal of 923742 is 247329.

923742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (923743) by changing a digit.

923742 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12618 + ... + 12690.

It is an arithmetic number, because the mean of its divisors is an integer number (45695).

2923742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 923742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096680).

923742 is an abundant number, since it is smaller than the sum of its proper divisors (1269618).

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

923742 is a wasteful number, since it uses less digits than its factorization.

923742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 134 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 923742 is about 961.1149775131. The cubic root of 923742 is about 97.3905675560.

The spelling of 923742 in words is "nine hundred twenty-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 19 37 38 57 73 74 111 114 146 171 219 222 333 342 438 657 666 703 1314 1387 1406 2109 2701 2774 4161 4218 5402 6327 8103 8322 12483 12654 16206 24309 24966 48618 51319 102638 153957 307914 461871 923742