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123320320 = 211512043
BaseRepresentation
bin1110101100110…
…11100000000000
322121001022200021
413112123200000
5223032222240
620123103224
73025130314
oct726334000
9277038607
10123320320
116367a422
1235371b14
131c71a306
1412541b44
15ac5e54a
hex759b800

123320320 has 48 divisors (see below), whose sum is σ = 295921080. Its totient is φ = 49324032.

The previous prime is 123320303. The next prime is 123320359. The reversal of 123320320 is 23023321.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 123320294 and 123320303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4219 + ... + 16261.

Almost surely, 2123320320 is an apocalyptic number.

123320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147960540).

123320320 is an abundant number, since it is smaller than the sum of its proper divisors (172600760).

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

123320320 is an equidigital number, since it uses as much as digits as its factorization.

123320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12070 (or 12050 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 123320320 is about 11104.9682574963. The cubic root of 123320320 is about 497.7503197250.

Adding to 123320320 its reverse (23023321), we get a palindrome (146343641).

The spelling of 123320320 in words is "one hundred twenty-three million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 10240 12043 24086 48172 60215 96344 120430 192688 240860 385376 481720 770752 963440 1541504 1926880 3083008 3853760 6166016 7707520 12332032 15415040 24664064 30830080 61660160 123320320