Base | Representation |
---|---|
bin | 1110101010100… |
… | …10010010010000 |
3 | 22120111002022022 |
4 | 13111102102100 |
5 | 222443123212 |
6 | 20112431012 |
7 | 3022441103 |
oct | 725222220 |
9 | 276432268 |
10 | 123020432 |
11 | 63495087 |
12 | 35248468 |
13 | 1c643972 |
14 | 124a473a |
15 | ac00772 |
hex | 7552490 |
123020432 has 40 divisors (see below), whose sum is σ = 257769216. Its totient is φ = 56654336.
The previous prime is 123020423. The next prime is 123020441. The reversal of 123020432 is 234020321.
It is an interprime number because it is at equal distance from previous prime (123020423) and next prime (123020441).
It is a Harshad number since it is a multiple of its sum of digits (17).
It is a self number, because there is not a number n which added to its sum of digits gives 123020432.
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 7 ways as a sum of consecutive naturals, for example, 7973 + ... + 17595.
Almost surely, 2123020432 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 123020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128884608).
123020432 is an abundant number, since it is smaller than the sum of its proper divisors (134748784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123020432 is a wasteful number, since it uses less digits than its factorization.
123020432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9695 (or 9689 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 17.
The square root of 123020432 is about 11091.4576138576. The cubic root of 123020432 is about 497.3465189878.
Adding to 123020432 its reverse (234020321), we get a palindrome (357040753).
The spelling of 123020432 in words is "one hundred twenty-three million, twenty thousand, four hundred thirty-two".
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