Search a number
-
+
123849 = 3411139
BaseRepresentation
bin11110001111001001
320021220000
4132033021
512430344
62353213
71024035
oct361711
9207800
10123849
1185060
125b809
13444ab
14331c5
1526a69
hex1e3c9

123849 has 20 divisors (see below), whose sum is σ = 203280. Its totient is φ = 74520.

The previous prime is 123833. The next prime is 123853. The reversal of 123849 is 948321.

It is not a de Polignac number, because 123849 - 24 = 123833 is a prime.

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

123849 is a lucky number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (123829) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 822 + ... + 960.

It is an arithmetic number, because the mean of its divisors is an integer number (10164).

2123849 is an apocalyptic number.

It is an amenable number.

123849 is a deficient number, since it is larger than the sum of its proper divisors (79431).

123849 is a wasteful number, since it uses less digits than its factorization.

123849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 123849 is about 351.9218663283. The cubic root of 123849 is about 49.8460598685.

The spelling of 123849 in words is "one hundred twenty-three thousand, eight hundred forty-nine".

Divisors: 1 3 9 11 27 33 81 99 139 297 417 891 1251 1529 3753 4587 11259 13761 41283 123849