Search a number
-
+
123396 = 223713113
BaseRepresentation
bin11110001000000100
320021021020
4132020010
512422041
62351140
71022520
oct361004
9207236
10123396
1184789
125b4b0
1344220
1432d80
1526866
hex1e204

123396 has 48 divisors (see below), whose sum is σ = 357504. Its totient is φ = 32256.

The previous prime is 123379. The next prime is 123397. The reversal of 123396 is 693321.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (123397) by changing a digit.

123396 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 15 ways as a sum of consecutive naturals, for example, 1036 + ... + 1148.

It is an arithmetic number, because the mean of its divisors is an integer number (7448).

2123396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178752).

123396 is an abundant number, since it is smaller than the sum of its proper divisors (234108).

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

123396 is a wasteful number, since it uses less digits than its factorization.

123396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 138 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 123396 is about 351.2776679494. The cubic root of 123396 is about 49.7852119766.

The spelling of 123396 in words is "one hundred twenty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 113 156 182 226 273 339 364 452 546 678 791 1092 1356 1469 1582 2373 2938 3164 4407 4746 5876 8814 9492 10283 17628 20566 30849 41132 61698 123396