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123096 = 23323223
BaseRepresentation
bin11110000011011000
320020212010
4132003120
512414341
62345520
71021611
oct360330
9206763
10123096
1184536
125b2a0
134404c
1432c08
1526716
hex1e0d8

123096 has 32 divisors (see below), whose sum is σ = 322560. Its totient is φ = 39072.

The previous prime is 123091. The next prime is 123113. The reversal of 123096 is 690321.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2123096 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 123096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

123096 is an abundant number, since it is smaller than the sum of its proper divisors (199464).

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

123096 is a wasteful number, since it uses less digits than its factorization.

123096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 123096 is about 350.8503954679. The cubic root of 123096 is about 49.7448333481.

It can be divided in two parts, 1230 and 96, that added together give a triangular number (1326 = T51).

The spelling of 123096 in words is "one hundred twenty-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 223 276 446 552 669 892 1338 1784 2676 5129 5352 10258 15387 20516 30774 41032 61548 123096