Base | Representation |
---|---|
bin | 1100011010011… |
… | …00110010100000 |
3 | 21020221000122212 |
4 | 12031030302200 |
5 | 203123423202 |
6 | 14155421252 |
7 | 2403015131 |
oct | 615146240 |
9 | 236830585 |
10 | 104123552 |
11 | 53858625 |
12 | 2aa54828 |
13 | 18758690 |
14 | db85c88 |
15 | 921b652 |
hex | 634cca0 |
104123552 has 48 divisors (see below), whose sum is σ = 221928840. Its totient is φ = 47803392.
The previous prime is 104123533. The next prime is 104123557. The reversal of 104123552 is 255321401.
It can be written as a sum of positive squares in 4 ways, for example, as 104121616 + 1936 = 10204^2 + 44^2 .
It is a super-3 number, since 3×1041235523 (a number of 25 digits) contains 333 as substring.
It is not an unprimeable number, because it can be changed into a prime (104123557) 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 7 ways as a sum of consecutive naturals, for example, 94718 + ... + 95810.
Almost surely, 2104123552 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 104123552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110964420).
104123552 is an abundant number, since it is smaller than the sum of its proper divisors (117805288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
104123552 is a wasteful number, since it uses less digits than its factorization.
104123552 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1345 (or 1337 counting only the distinct ones).
The product of its (nonzero) digits is 1200, while the sum is 23.
The square root of 104123552 is about 10204.0948643180. The cubic root of 104123552 is about 470.4530895547.
Adding to 104123552 its reverse (255321401), we get a palindrome (359444953).
The spelling of 104123552 in words is "one hundred four million, one hundred twenty-three thousand, five hundred fifty-two".
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