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123648 = 283723
BaseRepresentation
bin11110001100000000
320021121120
4132030000
512424043
62352240
71023330
oct361400
9207546
10123648
1184998
125b680
1344385
14330c0
1526983
hex1e300

123648 has 72 divisors (see below), whose sum is σ = 392448. Its totient is φ = 33792.

The previous prime is 123637. The next prime is 123653. The reversal of 123648 is 846321.

Adding to 123648 its reverse (846321), we get a palindrome (969969).

It is a happy number.

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 one of the 548 Lynch-Bell numbers.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 123648.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5365 + ... + 5387.

123648 is a Friedman number, since it can be written as 483*16^2, using all its digits and the basic arithmetic operations.

2123648 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 123648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196224).

123648 is an abundant number, since it is smaller than the sum of its proper divisors (268800).

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

123648 is an equidigital number, since it uses as much as digits as its factorization.

123648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 35 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 123648 is about 351.6361756134. The cubic root of 123648 is about 49.8190794782.

The spelling of 123648 in words is "one hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 552 644 672 736 768 896 966 1104 1288 1344 1472 1792 1932 2208 2576 2688 2944 3864 4416 5152 5376 5888 7728 8832 10304 15456 17664 20608 30912 41216 61824 123648