Base | Representation |
---|---|
bin | 1110101101001… |
… | …00011110011000 |
3 | 22121010012002202 |
4 | 13112210132120 |
5 | 223034411310 |
6 | 20123545332 |
7 | 3025342430 |
oct | 726443630 |
9 | 277105082 |
10 | 123357080 |
11 | 636a5000 |
12 | 3538b248 |
13 | 1c730c72 |
14 | 125512c0 |
15 | ac6a3a5 |
hex | 75a4798 |
123357080 has 128 divisors (see below), whose sum is σ = 349954560. Its totient is φ = 38332800.
The previous prime is 123357061. The next prime is 123357089. The reversal of 123357080 is 80753321.
It is a super-2 number, since 2×1233570802 = 30433938372252800, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123357089) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372515 + ... + 372845.
It is an arithmetic number, because the mean of its divisors is an integer number (2734020).
Almost surely, 2123357080 is an apocalyptic number.
123357080 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 123357080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174977280).
123357080 is an abundant number, since it is smaller than the sum of its proper divisors (226597480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123357080 is a wasteful number, since it uses less digits than its factorization.
123357080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 382 (or 356 counting only the distinct ones).
The product of its (nonzero) digits is 5040, while the sum is 29.
The square root of 123357080 is about 11106.6232492149. The cubic root of 123357080 is about 497.7997721970.
The spelling of 123357080 in words is "one hundred twenty-three million, three hundred fifty-seven thousand, eighty".
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