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123320528 = 2429614357
BaseRepresentation
bin1110101100110…
…11100011010000
322121001022221222
413112123203100
5223032224103
620123104212
73025131032
oct726334320
9277038858
10123320528
116367a5a1
1235372068
131c71a436
1412541c52
15ac5e638
hex759b8d0

123320528 has 40 divisors (see below), whose sum is σ = 251282280. Its totient is φ = 58544640.

The previous prime is 123320521. The next prime is 123320531. The reversal of 123320528 is 825023321.

It can be written as a sum of positive squares in 4 ways, for example, as 26337424 + 96983104 = 5132^2 + 9848^2 .

It is a junction number, because it is equal to n+sod(n) for n = 123320497 and 123320506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123320521) 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, 26126 + ... + 30482.

It is an arithmetic number, because the mean of its divisors is an integer number (6282057).

Almost surely, 2123320528 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 123320528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125641140).

123320528 is an abundant number, since it is smaller than the sum of its proper divisors (127961752).

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

123320528 is a wasteful number, since it uses less digits than its factorization.

123320528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 123320528 is about 11104.9776226699. The cubic root of 123320528 is about 497.7505995708.

Adding to 123320528 its reverse (825023321), we get a palindrome (948343849).

The spelling of 123320528 in words is "one hundred twenty-three million, three hundred twenty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 29 58 61 116 122 232 244 464 488 976 1769 3538 4357 7076 8714 14152 17428 28304 34856 69712 126353 252706 265777 505412 531554 1010824 1063108 2021648 2126216 4252432 7707533 15415066 30830132 61660264 123320528