Search a number
-
+
123390 = 2335457
BaseRepresentation
bin11110000111111110
320021021000
4132013332
512422030
62351130
71022511
oct360776
9207230
10123390
1184783
125b4a6
1344217
1432d78
1526860
hex1e1fe

123390 has 32 divisors (see below), whose sum is σ = 329760. Its totient is φ = 32832.

The previous prime is 123379. The next prime is 123397. The reversal of 123390 is 93321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123397) 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, 42 + ... + 498.

It is an arithmetic number, because the mean of its divisors is an integer number (10305).

2123390 is an apocalyptic number.

123390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164880).

123390 is an abundant number, since it is smaller than the sum of its proper divisors (206370).

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

123390 is a wasteful number, since it uses less digits than its factorization.

123390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 123390 is about 351.2691275931. The cubic root of 123390 is about 49.7844050458.

The spelling of 123390 in words is "one hundred twenty-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 457 914 1371 2285 2742 4113 4570 6855 8226 12339 13710 20565 24678 41130 61695 123390