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123288 = 23311467
BaseRepresentation
bin11110000110011000
320021010020
4132012120
512421123
62350440
71022304
oct360630
9207106
10123288
11846a0
125b420
1344169
1432d04
15267e3
hex1e198

123288 has 32 divisors (see below), whose sum is σ = 336960. Its totient is φ = 37280.

The previous prime is 123269. The next prime is 123289. The reversal of 123288 is 882321.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123289) 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, 31 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (10530).

2123288 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 123288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168480).

123288 is an abundant number, since it is smaller than the sum of its proper divisors (213672).

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

123288 is a wasteful number, since it uses less digits than its factorization.

123288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 483 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 123288 is about 351.1239097527. The cubic root of 123288 is about 49.7706832175.

The spelling of 123288 in words is "one hundred twenty-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 467 934 1401 1868 2802 3736 5137 5604 10274 11208 15411 20548 30822 41096 61644 123288