Base | Representation |
---|---|
bin | 1110101111011… |
… | …00100000000000 |
3 | 22121200011210021 |
4 | 13113230200000 |
5 | 223123331341 |
6 | 20134143224 |
7 | 3031011511 |
oct | 727544000 |
9 | 277604707 |
10 | 123652096 |
11 | 63886717 |
12 | 354b1b14 |
13 | 1c805329 |
14 | 125caa08 |
15 | acc79d1 |
hex | 75ec800 |
123652096 has 48 divisors (see below), whose sum is σ = 249385500. Its totient is φ = 61292544.
The previous prime is 123652093. The next prime is 123652097. The reversal of 123652096 is 690256321.
It can be written as a sum of positive squares in 2 ways, for example, as 108160000 + 15492096 = 10400^2 + 3936^2 .
It is not an unprimeable number, because it can be changed into a prime (123652091) by changing a digit.
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, 354130 + ... + 354478.
Almost surely, 2123652096 is an apocalyptic number.
123652096 is a gapful number since it is divisible by the number (16) 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 123652096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124692750).
123652096 is an abundant number, since it is smaller than the sum of its proper divisors (125733404).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123652096 is an equidigital number, since it uses as much as digits as its factorization.
123652096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 544 (or 524 counting only the distinct ones).
The product of its (nonzero) digits is 19440, while the sum is 34.
The square root of 123652096 is about 11119.8964023951. The cubic root of 123652096 is about 498.1962957930.
The spelling of 123652096 in words is "one hundred twenty-three million, six hundred fifty-two thousand, ninety-six".
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