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123320296 = 231122329191
BaseRepresentation
bin1110101100110…
…11011111101000
322121001022122101
413112123133220
5223032222141
620123103144
73025130251
oct726333750
9277038571
10123320296
116367a400
1235371ab4
131c71a2b8
1412541b28
15ac5e531
hex759b7e8

123320296 has 96 divisors (see below), whose sum is σ = 275788800. Its totient is φ = 51497600.

The previous prime is 123320257. The next prime is 123320303. The reversal of 123320296 is 692023321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645561 + ... + 645751.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2123320296 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 123320296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

123320296 is an abundant number, since it is smaller than the sum of its proper divisors (152468504).

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

123320296 is a wasteful number, since it uses less digits than its factorization.

123320296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 123320296 is about 11104.9671768988. The cubic root of 123320296 is about 497.7502874351.

The spelling of 123320296 in words is "one hundred twenty-three million, three hundred twenty thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 22 23 29 44 46 58 88 92 116 121 184 191 232 242 253 319 382 484 506 638 667 764 968 1012 1276 1334 1528 2024 2101 2552 2668 2783 3509 4202 4393 5336 5539 5566 7018 7337 8404 8786 11078 11132 14036 14674 16808 17572 22156 22264 23111 28072 29348 35144 44312 46222 48323 58696 60929 80707 92444 96646 121858 127397 161414 184888 193292 243716 254794 322828 386584 487432 509588 531553 645656 670219 1019176 1063106 1340438 1401367 2126212 2680876 2802734 4252424 5361752 5605468 11210936 15415037 30830074 61660148 123320296